Isaac Towers

Undergraduate Coordinator
Senior Lecturer

PhD Study Opportunities

Are you interested in Graduate Research?  Explore some of the PhD Study Opportunities at UNSW Canberra.  We offer a diverse range of Scholarships Opportunities to domestic and international students to suit you and your situation.

Scholarships of $35,000 (AUD) are available for PhD applicants who achieved H1 (High Distinction) in their undergraduate program and/or have completed a Masters by Research.

Dr Isaac Towers is a Senior Lecturer in the School of Physical, Environmental and Mathematical Sciences at UNSW Canberra.

Current Research

  • Stochastic differential equations
  • Ecological modelling
  • Nonlinear dynamics
  • Combustion waves

PhD Opportunities and Scholarships

If you are interested in PhD research in Applied Mathematics contact: Dr Isaac Towers, i.towers@adfa.edu.au

Current Postgraduate Students

  • Chad Anderson (PhD) - Analysis of Population Dynamics subject to Environmental Changes
  • Paul Hartlipp (MPhil) - An investigation of coastal sea surface measurements for the Maritime Continent using SARAL/Altika Satellite measurements
  • Luis Mijangos Aruajo (PhD) - Genetics for Forecasting and Managing Biodiversity
  • Rashed Saifuddin (PhD) - Developing realistic models for stressed ecosystems
  • Chris Thomas (PhD) - Incorporation of spotting and intrinsic fire dynamics in a coupled atmosphere-fire modelling framework
  • Hilyati Zazali (PhD) - Stochastic bushfire spread modelling

Past Postgraduate Students

  1. Andrew Robards (MPhil) - The cost efficiency of different freight modes
  2. Dr. Zhejun Huang  (PhD) - Combustion waves in a two-stage sequential exothermic-endothermic reaction scheme
  3. Chad Anderson (MPhil) - Population Dynamics in a Stochastic Environment
  4. Tom Dose (Honours) - Discrete population dynamics with varying carrying capacity
  5. Dr. Hamizah Safuan - Mathematical Analysis of Population Growth Subject to Environmental Change (2014 Ria de Groot Prize Winner)
  6. Yang Sun (MPhil) -  Soliton Dynamics in Frequency-Modulated Lattices

 

 

PUBLICATIONS
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Preprints
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McLennan-Smith T; Kalloniatis A; Watt S; Jovanoski Z; Sidhu H; Roberts D; Towers I, 2022, Mathematical modelling of decision cycles in a competitive environment with neutral parties, http://dx.doi.org/10.48550/arxiv.2212.07029
2022
Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2019, Memory and mutualism in species sustainability: a time-fractional Lotka-Volterra model with harvesting, http://dx.doi.org/10.48550/arxiv.1904.12340
2019
Band YB; Towers I; Malomed B, 2002, Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential, http://dx.doi.org/10.48550/arxiv.cond-mat/0207739
2002
Conference Papers
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Huang ZJ; Watt S; Sidhu H; McIntosh A; Brindley J; Jovanoski Z; Towers I, 2019, '2D chaotic flow in competitive exothermic-endothermic reactions', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.a5.huang
2019
Jovanoski Z; Sharples J; Sidhu H; Towers I, 2019, 'Stochastic model for the ROS in a heterogeneous environment', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra ACT, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra ACT, 01 December 2019 - 06 December 2019, http://dx.doi.org/10.36334/modsim.2019.h7.jovanoski
2019
McLennan-Smith T; Kalloniatis A; Sidhu H; Jovanoski Z; Watt S; Towers I, 2019, 'Exploiting ecological non-trophic models in representations of warfare', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.b3.mclennan-smith
2019
Jovanoski Z; Sharples JJ; Gill AM; Watt S; Sidhu HS; Towers IN; Sanni S, 2018, 'Modelling the rate of spread of fire: An SDE approach', in Viegas DX (ed.), ADVANCES IN FOREST FIRE RESEARCH 2018, UNIV COIMBRA, PORTUGAL, Coimbra, pp. 555 - 565, presented at 8th International Conference on Forest Fire Research, PORTUGAL, Coimbra, 09 November 2018 - 16 November 2018, http://dx.doi.org/10.14195/978-989-26-16-506_62
2018
Saifuddin R; Jovanoski Z; Safuan H; Watt S; Sidhu HS; Towers I, 2017, 'Invasive species in a confined environment: Reindeer population in the Pribilof Islands', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), The 22nd International Congress on Modelling and Simulation, International Congress on Modelling and Simulation, Hobart, Tasmania, presented at International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/A4/saifuddin.pdf
2017
Mijangos L; Holleley C; Nichols R; Towers I; Jovanoski Z; Sidhu HS; Watt S; Adamack A; Sherwin W, 2017, 'Genetic linkage to explain genetic variation', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, pp. 127 - 133, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/mijangos.pdf
2017
Watt S; Jovanoski Z; Sidhu HS; Towers I; Welbourne D, 2017, 'Population response to environmental change: A model with an alternate stable state', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 154 - 159, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/watt2.pdf
2017
WATT S; Sidhu HS; Jovanoski Z; Towers I; Sharples J; Gubernov V, 2017, 'Propagation of travelling waves in a complex system modelling fire spread', in Propagation of travelling waves in a complex system modelling fire spread, 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, presented at 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, 03 December 2017 - 08 December 2017
2017
Sanni S; Sharples J; Gill A; Jovanoski Z; Sidhu HS; Towers I, 2017, 'A stochastic differential equation approach to modelling the growth phase of fire spread', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017 - Proceedings - MSSANZ, Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 1152 - 1158, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/H10/sanni.pdf
2017
Towers I; Sidhu H; Jovanoski Z; Merrick K; Barlow M, 2017, 'An N-player Trust game: comparison of replicator and logit dynamics', in An N-player Trust game: comparison of replicator and logit dynamics, The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/Keynote/towers.pdf
2017
Zazali HH; Towers IN; Sharples JJ, 2017, 'Incorporating environmental uncertainty in fire spread modelling', in Proceedings - 22nd International Congress on Modelling and Simulation, MODSIM 2017, pp. 1194 - 1200
2017
Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2016, 'Analysis of Bi-Stability in combustion waves', in Chemical Engineering - Regeneration, Recovery and Reinvention, Engineers Australia, Adelaide SA Australia, pp. 242 - 251, presented at Chemeca 2016, Adelaide SA Australia, 25 September 2016 - 28 September 2016
2016
Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov VV, 2015, 'Investigating Flame Fronts in Competitive Exothermic Reactions', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, Gold Coast, Australia, pp. 64 - 70, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/huang.pdf
2015
Anderson C; Jovanoski Z; Towers I; Sidhu HS, 2015, 'A simple population model with a stochastic carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, Gold Coast, Australia, pp. 36 - 42, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/anderson.pdf
2015
Dose TD; Jovanoski Z; Towers I; Sidhu HS, 2015, 'Dynamics of a discrete population model with variable carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, Gold Coast, Australia, pp. 50 - 56, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/dose.pdf
2015
Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, pp. 99 - 105, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A1/towers.pdf
2013
Sidhu HS; Towers I; Gubernov V; Kolobov AV; Polezhaev AA, 2013, 'Investigation of Flame Propagation in a Model with Competing Exothermic Reactions', in Chemeca 2013, Chemeca 2013, Brisbane, Australia, pp. 29350-1 - 29350-6, presented at Chemeca 2013, Brisbane, 29 September 2013 - 02 October 2013, http://www.conference.net.au/chemeca2013/papers/29350.pdf
2013
Sharples J; Towers IN; Wheeler G; Wheeler V-M; McCoy JA, 2013, 'Modelling fire line merging using plane curvature flow', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, Adelaide, Australia, pp. 256 - 262, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A3/sharples2.pdf
2013
Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model with competing exothermic reactions', in Piantadosi J; Anderssen RS; Boland J (eds.), Proceedings - 20th International Congress on Modelling and Simulation, MODSIM 2013, MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, Adelaide, AUSTRALIA, pp. 99 - 105, presented at 20th International Congress on Modelling and Simulation (MODSIM), Adelaide, AUSTRALIA, 01 December 2013 - 06 December 2013, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000357105900015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
2013
Safuan H; Towers I; Jovanoski Z; Sidhu HS, 2011, 'A simple model for the total microbial biomass under occlusion of healthy human skin', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 733 - 739, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/safuan.pdf
2011
Qian C; Sidhu HS; Sharples JJ; Towers I; Gubernov V, 2011, 'Combustion waves from a sequential exothermic and endothermic reaction', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 725 - 732, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/qian.pdf
2011
Sharples JJ; Gubernov VV; Sidhu HS; Towers IN; Kolobov AV; Polezhaev AA, 2009, 'Behaviour of combustion waves in one-step and two-step models', in 18th World IMACS Congress and MODSIM 2009 - International Congress on Modelling and Simulation: Interfacing Modelling and Simulation with Mathematical and Computational Sciences, Proceedings, pp. 4453 - 4459
2009
Sharples JJ; Gubernov V; Sidhu HS; Towers I; Kolobov A; Polezhaev A, 2009, 'Behaviour of combustion waves in one-step and two-step models', in Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, MODSIM and IMAC, Australia, pp. 4453 - 4459, presented at 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia
2009
Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable ring solitons', in Nonlinear guided waves and their applications 2001, Nonlinear guided waves and their applications 2001, Clearwater, Florida, pp. 170 - 172, presented at Nonlinear guided waves and their applications 2001, Clearwater, Florida, 25 March 2001 - 28 March 2001
2001
Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping in nonlinear quadratic distributed feedback systems', in Qauntum Electronics and Laser Science Conference 2000, Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 119 - 120, presented at Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000
2000
Towers I; Sammut RA; Buryak AV; Kolossovski KY; Malomed BA, 2000, 'Stable vortex rings due to parametric wave mixing', in Qauntum Electronics and Laser Science Conference 2000, Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 199 - 200, presented at Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000
2000
Buryak AV; Towers I; Sammut RA, 2000, 'Quality of Soliton Multistability', in Nonlinear Optics: Materials, Fundamentals and Applications, Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, pp. 208 - 208, presented at Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, 06 August 2000 - 10 August 2000
2000
Towers I; Buryak AV; Sammut RA; Malomed BA, 1999, 'Soltons due to two resonance wave mixing', in Chantler CT; Farrell PM (ed.), Australian optical society 99, Australian optical society 99, Sydney, pp. 100, presented at Australian optical society 99, Sydney, 06 July 1999 - 09 July 1999
1999
Buryak AV; Towers I; Sammut RA; Malomed BA, 1999, 'Solitons due to double resonance wave mixing in quadratic nonlinear media', in Nonlinear guided waves and their applications 1999, Nonlinear guided waves and their applications 1999, Dijon, France, pp. 64 - 66, presented at Nonlinear guided waves and their applications 1999, Dijon, France, 01 September 1999 - 03 September 1999, http://dx.doi.org/10.1364/NLGW.1999.WD3
1999
Buryak AV; Towers I; Sammut RA, 'Quality of soliton multistability', in Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. Postconference Edition. TOPS Vol.46 (IEEE Cat. No.00CH37174), Opt. Soc. America, presented at Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. TOPS Vol.46, http://dx.doi.org/10.1109/nlo.2000.883623
Journal articles
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McLennan-Smith TA; Kalloniatis AC; Jovanoski Z; Sidhu HS; Roberts DO; Watt S; Towers IN, 2021, 'A Mathematical Model of Humanitarian Aid Agencies in Attritional Conflict Environments', Operations Research, vol. 69, pp. 1696 - 1714, http://dx.doi.org/10.1287/opre.2021.2130
2021
Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Watt S; Gubernov VV, 2020, 'Properties of nonadiabatic combustion waves in competitive exothermic reactions', Applied Mathematical Modelling, vol. 77, pp. 1216 - 1228, http://dx.doi.org/10.1016/j.apm.2019.09.010
2020
Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2020, 'Memory and mutualism in species sustainability: A time-fractional Lotka-Volterra model with harvesting', Heliyon, vol. 6, pp. e04816 - e04816, http://dx.doi.org/10.1016/j.heliyon.2020.e04816
2020
Zazali HH; Towers IN; Sharples JJ, 2020, 'A critical review of fuel accumulation models used in Australian fire management', International Journal of Wildland Fire, vol. 30, pp. 42 - 56, http://dx.doi.org/10.1071/WF20031
2020
Watt SD; Sidhu HS; Jovanoski Z; Towers IN; Huang Z, 2019, 'Watershed initial conditions for propagating waves in a system with bistability: A weight-function approach', Applied Mathematics Letters, vol. 91, pp. 106 - 112, http://dx.doi.org/10.1016/j.aml.2018.11.018
2019
Ang TK; Safuan HM; Sidhu HS; Jovanoski Z; Towers IN, 2019, 'Impact of Harvesting on a Bioeconomic Predator–Prey Fishery Model Subject to Environmental Toxicant', Bulletin of Mathematical Biology, vol. 81, pp. 2748 - 2767, http://dx.doi.org/10.1007/s11538-019-00627-8
2019
Huang Z; Sidhu H; Towers I; Jovanoski Z; Watt S, 2018, 'On the route to extinction in non-adiabatic flames from competitive exothermic reactions', Mathematical Modelling of Natural Phenomena, vol. 13, http://dx.doi.org/10.1051/mmnp/2018047
2018
Saifuddin R; Jovanoski Z; Safuan HM; Towers I; Sidhu H, 2017, 'Stability of a Population in a Model with Delayed Environmental Response', Journal of Engineering and Applied Sciences, vol. 12, pp. 2299 - 2303, http://dx.doi.org/10.3923/jeasci.2017.2299.2303
2017
Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2017, 'Stability analysis of combustion waves for competitive exothermic reactions using Evans function', Applied Mathematical Modelling, vol. 54, pp. 347 - 360, http://dx.doi.org/10.1016/j.apm.2017.09.055
2017
Dose T; Jovanoski Z; Safuan HM; Sidhu H; Towers I, 2017, 'Dynamics of a Discrete Non-Autonomous Ricker Model', Journal of Engineering and Applied Science, vol. 12, pp. 2304 - 2309, http://dx.doi.org/10.3923/jeasci.2017.2304.2309
2017
Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2017, 'Properties of combustion waves in a model with competitive exothermic reactions', Journal of Mathematical Chemistry, vol. 55, pp. 1187 - 1201, http://dx.doi.org/10.1007/s10910-017-0733-0
2017
Anderson C; Jovanoski Z; Sidhu H; Towers I, 2016, 'Logistic equation with a simple stochastic carrying capacity', ANZIAM Journal, vol. 56, pp. C431 - C445, http://dx.doi.org/10.0000/anziamj.v56i0.9386
2016
Anderson C; Jovanoski Z; Sidhu HS; Towers IN, 2016, 'Logistic equation is a simple stochastic carrying capacity', ANZIAM Journal, vol. 56, pp. 431 - 431, http://dx.doi.org/10.21914/anziamj.v56i0.9386
2016
Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2016, 'Nonadiabatic combustion waves in a two-step competitive exothermic-reaction model', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, vol. 57, pp. C14 - C31, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/10391/0
2016
Towers IN; Jovanoski Z; Sidhu HS; Safuan H, 2015, 'On travelling wave solutions of the diffusive Leslie–Gower model', Applied Mathematics and Computation, vol. 274, pp. 362 - 371, http://dx.doi.org/10.1016/j.amc.2015.10.088
2015
Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, vol. 56, pp. C148 - C162, http://dx.doi.org/10.0000/anziamj.v56i0.9343
2015
Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, vol. 55, pp. 148 - 148, http://dx.doi.org/10.21914/anziamj.v56i0.9343
2015
Mohd Safuan H; Sidhu HS; Jovanoski Z; Towers IN, 2014, 'A two-species predator-prey model in an environment enriched by a biotic resource', ANZIAM Journal, vol. 54, pp. 768 - 768, http://dx.doi.org/10.21914/anziamj.v54i0.6376
2014
Safuan H; Sidhu H; Jovanoski Z; Towers I, 2014, 'A two-species predator-prey model in an environment enriched by a biotic resource', ANZIAM Journal, vol. 54, pp. C768 - C787, http://dx.doi.org/10.0000/anziamj.v54i0.6376
2014
Towers I; Gubernov V; Kolobov AV; Polezhaev AA; Sidhu HS, 2013, 'Bistability of flame propagation in a model with competing exothermic reactions', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, vol. 469, pp. 20130315-1 - 20130315-19, http://dx.doi.org/10.1098/rspa.2013.0315
2013
Wee W; Sidhu H; Sharples J; Towers I; Gubernov V, 2013, 'Properties of reaction fronts in a non-adiabatic two stage exothermic-endothermic competitive reaction scheme', ANZIAM Journal, vol. 54, pp. 646 - 646, http://dx.doi.org/10.21914/anziamj.v54i0.6302
2013
Safuan H; Sidhu HS; Jovanoski Z; Towers I, 2013, 'Impacts of Biotic Resource Enrichment on a Predator-Prey Population', Bulletin of Mathematical Biology, vol. on-line July 2013, pp. 1798 - 1812, http://dx.doi.org/10.1007/s11538-013-9869-7
2013
Sidhu H; Sharples J; Towers I; Gubernov V; wee W, 2013, 'Properties of reaction fronts in a non-adiabatic two stage exothermic-endothermic competitive reaction scheme', ANZIAM Journal, vol. 54, http://dx.doi.org/10.0000/anziamj.v54i0.6302
2013
Jovanoski Z; Towers I; Sidhu HS; Mohd Safuan H, 2013, 'Exact solution of a non-autonomous logistic population model', Ecological Modelling, vol. 251, pp. 99 - 102, http://dx.doi.org/10.1016/j.ecolmodel.2012.12.016
2013
Towers I; Jovanoski Z; Sidhu HS; mohd safuan H, 2012, 'Coupled logistic carrying capacity model', The ANZIAM Journal, vol. 53, pp. C172 - C184, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/4972
2012
Towers I; Jovanoski Z, 2012, 'Shepherded solitons', The ANZIAM Journal, vol. 53, pp. C312 - C324, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5122
2012
Konar S; Jovanoski Z; Towers I, 2011, 'Two-color bright solitons in a three-level atomic system in the cascade configuration', Journal of Modern Optics, vol. 58, pp. 1035 - 1040, http://dx.doi.org/10.1080/09500340.2011.591509
2011
Konar S; Jovanoski Z; Towers I, 2011, 'Incoherent spatial optical solitons in photorefractive crystals', Optics and Laser Technology, vol. 43, pp. 1466 - 1469, http://dx.doi.org/10.1016/j.optlastec.2011.04.022
2011
Oslington P; Towers I, 2010, 'Trade, Migration, and Inequality in a World without Factor Price Equalization', Review of International Economics, vol. 18, pp. 650 - 662, http://dx.doi.org/10.1111/j.1467-9396.2010.00902.x
2010
Towers I; Robinson G, 2009, 'A model for multiple isothermal circumstellar dust shells', Physica Scripta T, vol. 80, http://dx.doi.org/10.1088/0031-8949/80/01/015901
2009
Oslington PR; Towers I, 2009, 'Pushing Economies (and Students)Outside the Factor Price Equalization Zone', Journal of Economic Education, vol. 40, pp. 422 - 436, http://dx.doi.org/10.1080/00220480903238099
2009
Robinson G; Towers I; Jovanoski Z, 2009, 'Isothermal circumstellar dust shell model for teaching', International Journal of Mathematical Education in Science and Technology, vol. 40, pp. 795 - 845, http://dx.doi.org/10.1080/00207390902825302
2009
Jovanoski Z; Towers I; Ansari NA, 2009, 'Domain walls and their stability', The ANZIAM Journal, vol. 50, pp. C1052 - C1065
2009
Towers I; Jovanoski Z, 2008, 'Application of rational Chebyshev polynomials to optical problems', The ANZIAM Journal, vol. 50, pp. C60 - C74
2008
Jovanoski Z; Ansari NA; Towers I; Sammut RA, 2008, 'Exact domain-wall solitons', Physics Letters, Section A, vol. 372, pp. 610 - 612, http://dx.doi.org/10.1016/j.physleta.2007.07.068
2008
Ansari NA; Towers I; Jovanoski Z; Sidhu HS, 2007, 'A semi-classical approach to two-frequency solitons in a three-level cascade atomic system', Optics Communications, vol. 274, pp. 66 - 73, http://dx.doi.org/10.1016/j.optcom.2007.02.019
2007
Ansari NA; Jovanoski Z; Sidhu HS; Towers I, 2006, 'Non-Linear Interactions of Two Intense Fields with a Three-Level Atomic System', Journal of Nonlinear Optical Physics and Materials, vol. 15, pp. 401 - 414, http://dx.doi.org/10.1142/S0218863506003402
2006
Jovanoski Z; Towers I; Ansari NA; Sammut RA, 2005, 'Approximate analysis of circular bends in nonlinear planar waveguides', Optics Communications, vol. 244, pp. 399 - 409, http://dx.doi.org/10.1016/j.optcom.2004.09.036
2005
Jovanoski Z; Towers I; Garth SJ; Sammut RA, 2005, 'Modes on a bent nonlinear waveguide: solutions based upon the method of perturbations', Journal of Modern Optics, vol. 52, pp. 707 - 723, http://dx.doi.org/10.1080/09500340412331283679
2005
Towers I, 2005, 'Interrogating functions', International Journal of Mathematical Education in Science and Technology, vol. 36, pp. 922 - 930, http://dx.doi.org/10.1080/00207390500084948
2005
Towers IN; Malomed BA; Wise FW, 2003, 'Light bullets in quadratic media with normal dispersion at the second harmonic', PHYSICAL REVIEW LETTERS, vol. 90, http://dx.doi.org/10.1103/PhysRevLett.90.123902
2003
Band YB; Towers I; Malomed BA, 2003, 'Unified semiclassical approximation for Bose-Einstein condensates: Application to a BEC in an optical potential', PHYSICAL REVIEW A, vol. 67, http://dx.doi.org/10.1103/PhysRevA.67.023602
2003
Mihalache D; Mazilu D; Towers I; Malomed BA; Lederer F, 2003, 'Stable spatiiotemporal spinning solitons in a bimodal cubic-quintic medium', Physical Review E, vol. 67, pp. 566081 - 566089, http://dx.doi.org/10.1103/PhysRevE.67.056608
2003
Mihalache D; Mazilu D; Crasovan L; Towers I; Buryak AV; Malomed BA; Torner L; Torres JP; Lederer F, 2002, 'Stable Spinning Optical Solitons in Three Dimensions', Physical Review Letters, vol. 88, pp. 1 - 4, http://dx.doi.org/10.1103/PhysRevLett.88.073902
2002
Mihalache D; Mazilu D; Crasovan L; Towers I; Malomed BA; Buryak AV; Torner L; Lederer F, 2002, 'Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities', Physical Review E, vol. 66, pp. 1 - 7, http://dx.doi.org/10.1103/PhysRevE.66.016613
2002
Mihalache D; Mazilu D; Towers I; Malomed BA; Lederer F, 2002, 'Stable two-dimensional spinning solitons in a bimodal cubic-quintic model with four-wave mixing', JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, vol. 4, pp. 615 - 623, http://dx.doi.org/10.1088/1464-4258/4/6/305
2002
Towers IN; Malomed BA, 2002, 'Polychromatic solitons in a quadratic medium', PHYSICAL REVIEW E, vol. 66, http://dx.doi.org/10.1103/PhysRevE.66.046620
2002
Towers I; Malomed BA, 2002, 'Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity', Journal of the Optical Society of America B - Optical Physics, vol. 19, pp. 537 - 543, http://dx.doi.org/10.1364/JOSAB.19.000537
2002
Malomed BA; Peng G; Chu PL; Towers I; Buryak AV; Sammut RA, 2001, 'Stable helical solitons in optical media', Pramana - Journal of Physics, vol. 57, pp. 1061 - 1078, http://dx.doi.org/10.1007/s12043-001-0014-z
2001
Towers I; Buryak AV; Sammut RA; Malomed BA; Crasovan L; Mihalache D, 2001, 'Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation', Physics Letters, Section A, vol. 288, pp. 292 - 298, http://dx.doi.org/10.1016/S0375-9601(01)00565-5
2001
Elyutin PV; Buryak AV; Gubernov V; Sammut RA; Towers I, 2001, 'Interaction of two one-dimensional Bose-Einstein solitons: Chaos and energy exchange', Physical Review E, vol. 64, pp. 1 - 9, http://dx.doi.org/10.1103/PhysRevE.64.016607
2001
Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable localized vortex solitons', Physical Review E, vol. 63, pp. 1 - 4, http://dx.doi.org/10.1103/PhysRevE.63.055601
2001
Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributied feedback systems', Physics Letters, Section A, vol. 267, pp. 319 - 325, http://dx.doi.org/10.1016/S0375-9601(00)00124-9
2000
Towers I; Buryak AV; Sammut RA; Malomed BA, 2000, 'Quadratic solitons resulting from double-resonance wave mixing', Journal of the Optical Society of America B - Optical Physics, vol. 17, pp. 2018 - 2025, http://dx.doi.org/10.1364/JOSAB.17.002018
2000
Towers I; Sammut RA; Buryak AV; Malomed BA, 1999, 'Soliton multistability as a result of double-resonance wave mixing in x(2) media', Optics Letters, vol. 24, pp. 1738 - 1740, https://www.ncbi.nlm.nih.gov/pubmed/18079920
1999
Theses / Dissertations
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Dose TD, 2015, Dynamics of Discrete Population Models with Changing Carrying Capacity, UNSW, UNSW Canberra
2015
Safuan H, 2014, Mathematical Analysis of Population Growth Subject to Environmental Change, UNSW, UNSW Canberra
2014
Sun Y, 2014, Soliton Dynamics in Frequency-Modulated Lattices, UNSW
2014
Towers I, 2001, Spatial Optical Solitions: From Basic Self-Trapping to Spinning Light Bullet Dynamics
2001
Other
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Yost D; Morris S (ed.), 2016, Book Review: Calculus and Analysis: A Combined Approach, Australian Mathematical Society, http://www.austms.org.au/Gazette+Volume+43+Number+1+March+2016
2016
Yost D; Morris S (ed.), 2015, Book Review: Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data, Australian Mathematical Society, http://www.austms.org.au/Gazette+Volume+42+Number+1+March+2015
2015
Yost D; Morris S (ed.), 2014, Book Review: Linear Algebra: Step by Step, Australian Mathematical Society, http://www.austms.org.au/Gazette+Volume+41+Number+3+July+2014
2014

AREA OF EXPERTISE
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Mathematical Modelling, Nonlinear dynamics,  Mathematical ecology, Combustion theory.

Organisational units
lensSchool of Science
Sub Theme
lensApplied & Industrial Mathematics