Dr Isaac Towers

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Dr Isaac Towers is a Senior Lecturer in the School of Physical, Environmental and Mathematical Sciences at ��¼� Canberra.

Phone

+61 2 5114 5050

E-mail

i.towers@unsw.edu.au

Location

Room 132a PEMS South (Bldg 26) School of Science, ��¼� Canberra, Australian Defence Force Academy, PO Box 7916, Canberra BC ACT 2610, AUSTRALIA

Journal articles | 2025

Hossine Z; Towers I; Kaehler B, 2025, 'Network based differential abundance analysis: bridging community interactions and host microbiome dynamics', Network Modeling Analysis in Health Informatics and Bioinformatics, 14, pp. 1 - 11,

Journal articles | 2025

Sharples JJ; Towers IN, 2025, 'Modelling litter accumulation and fire risks in Australia using Olson models: Commentary on Adams and Neumann (2024)', Forest Ecology and Management, 578,

Journal articles | 2025

Sharples JJ; Towers IN, 2025, 'Re-evaluation of quadratic and exponential models of litter accumulation incorporating climatic and species-specific dependence', Nature Communications, 16,

Journal articles | 2024

Towers IR; Vesk PA; Wenk E; Gallagher RV; Windecker S; Wright IJ; Falster D, 2024, 'Revisiting the role of mean annual precipitation in shaping functional trait distributions at a continental scale', New Phytologist, 241, pp. 1900 - 1909,

Journal articles | 2023

Masoudian S; Sharples J; Jovanoski Z; Towers I; Watt S, 2023, 'Incorporating Stochastic Wind Vectors in Wildfire Spread Prediction', Atmosphere, 14,

Journal articles | 2021

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, 69, pp. 1696 - 1714,

Journal articles | 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, 6, pp. e04816,

Journal articles | 2020

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, 77, pp. 1216 - 1228,

Journal articles | 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, 30, pp. 42 - 56,

Journal articles | 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, 81, pp. 2748 - 2767,

Journal articles | 2019

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, 91, pp. 106 - 112,

Journal articles | 2018

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, 13,

Journal articles | 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, 12, pp. 2304 - 2309,

Journal articles | 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, 54, pp. 347 - 360,

Journal articles | 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, 55, pp. 1187 - 1201,

Journal articles | 2017

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, 12, pp. 2299 - 2303,

Journal articles | 2016

Anderson C; Jovanoski Z; Sidhu H; Towers I, 2016, 'Logistic equation with a simple stochastic carrying capacity', ANZIAM Journal, 56, pp. C431 - C445,

Journal articles | 2016

Anderson C; Jovanoski Z; Sidhu HS; Towers IN, 2016, 'Logistic equation is a simple stochastic carrying capacity', ANZIAM Journal, 56, pp. 431 - 431,

Journal articles | 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, 57, pp. C14 - C31,

Journal articles | 2015

Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, 55, pp. 148 - 148,

Journal articles | 2015

Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, 56, pp. C148 - C162,

Journal articles | 2015

Towers IN; Jovanoski Z; Sidhu HS; Safuan H, 2015, 'On travelling wave solutions of the diffusive Leslie–Gower model', Applied Mathematics and Computation, 274, pp. 362 - 371,

Journal articles | 2014

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, 54, pp. 768 - 768,

Journal articles | 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, 54, pp. C768 - C787,

Journal articles | 2013

Jovanoski Z; Towers I; Sidhu HS; Mohd Safuan H, 2013, 'Exact solution of a non-autonomous logistic population model', Ecological Modelling, 251, pp. 99 - 102,

Journal articles | 2013

Safuan H; Sidhu HS; Jovanoski Z; Towers I, 2013, 'Impacts of Biotic Resource Enrichment on a Predator-Prey Population', Bulletin of Mathematical Biology, on-line July 2013,

Journal articles | 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, 54,

Journal articles | 2013

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, 469, pp. 20130315-1 - 20130315-19,

Journal articles | 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, 54, pp. 646 - 646,

Journal articles | 2012

Towers I; Jovanoski Z; Sidhu HS; mohd safuan H, 2012, 'Coupled logistic carrying capacity model', The ANZIAM Journal, 53, pp. C172 - C184,

Journal articles | 2012

Towers I; Jovanoski Z, 2012, 'Shepherded solitons', The ANZIAM Journal, 53, pp. C312 - C324,

Journal articles | 2011

Konar S; Jovanoski Z; Towers I, 2011, 'Incoherent spatial optical solitons in photorefractive crystals', Optics and Laser Technology, 43, pp. 1466 - 1469,

Journal articles | 2011

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, 58, pp. 1035 - 1040,

Journal articles | 2010

Oslington P; Towers I, 2010, 'Trade, Migration, and Inequality in a World without Factor Price Equalization', Review of International Economics, 18, pp. 650 - 662,

Journal articles | 2009

Jovanoski Z; Towers I; Ansari NA, 2009, 'Domain walls and their stability', The ANZIAM Journal, 50, pp. C1052 - C1065

Journal articles | 2009

Oslington PR; Towers I, 2009, 'Pushing Economies (and Students)Outside the Factor Price Equalization Zone', Journal of Economic Education, 40, pp. 422 - 436

Journal articles | 2009

Robinson G; Towers I; Jovanoski Z, 2009, 'Isothermal circumstellar dust shell model for teaching', International Journal of Mathematical Education in Science and Technology, 40, pp. 795 - 845

Journal articles | 2009

Towers I; Robinson G, 2009, 'A model for multiple isothermal circumstellar dust shells', Physica Scripta T, 80

Journal articles | 2008

Jovanoski Z; Ansari NA; Towers I; Sammut RA, 2008, 'Exact domain-wall solitons', Physics Letters, Section A, 372, pp. 610 - 612

Journal articles | 2008

Towers I; Jovanoski Z, 2008, 'Application of rational Chebyshev polynomials to optical problems', The ANZIAM Journal, 50, pp. C60 - C74

Journal articles | 2007

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, 274, pp. 66 - 73,

Journal articles | 2006

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, 15, pp. 401 - 414

Journal articles | 2005

Jovanoski Z; Towers I; Ansari NA; Sammut RA, 2005, 'Approximate analysis of circular bends in nonlinear planar waveguides', Optics Communications, 244, pp. 399 - 409,

Journal articles | 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, 52, pp. 707 - 723

Journal articles | 2005

Towers I, 2005, 'Interrogating functions', International Journal of Mathematical Education in Science and Technology, 36, pp. 922 - 930

Journal articles | 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, 67, pp. 023602,

Journal articles | 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, 67, pp. 566081 - 566089,

Journal articles | 2003

Towers IN; Malomed BA; Wise FW, 2003, 'Light Bullets in Quadratic Media with Normal Dispersion at the Second Harmonic', Physical Review Letters, 90, pp. 123902,

Journal articles | 2002

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, 88, pp. 1 - 4,

Journal articles | 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, 66, pp. 1 - 7,

Journal articles | 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, 4, pp. 615 - 623,

Journal articles | 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, 19, pp. 537 - 543

Journal articles | 2002

Towers IN; Malomed BA, 2002, 'Polychromatic solitons in a quadratic medium', Physical Review E, 66, pp. 046620,

Journal articles | 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, 64, pp. 1 - 9,

Journal articles | 2001

Malomed BA; Peng G; Chu PL; Towers I; Buryak AV; Sammut RA, 2001, 'Stable helical solitons in optical media', Pramana - Journal of Physics, 57, pp. 1061 - 1078,

Journal articles | 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, pp. 292 - 298

Journal articles | 2001

Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable localized vortex solitons', Physical Review E, 63, pp. 1 - 4,

Journal articles | 2000

Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributied feedback systems', Physics Letters, Section A, pp. 319 - 325

Journal articles | 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, 17, pp. 2018 - 2025

Journal articles | 1999

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, pp. 1738 - 1740
Preprints | 2022

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,

Conference Papers | 2021

Masoudian S; Sharples JJ; Jovanoski Z; Watt S; Towers I, 2021, 'Stochastic modelling of wind and its implication for wildfire spread predictions', in Proceedings of the International Congress on Modelling and Simulation, MODSIM, Modelling and Simulation Society of Australia and New Zealand, Sydney, NSW, pp. 365 - 371, presented at 24th International Congress on Modelling and Simulation (MODSIM2021), Sydney, NSW, 05 December 2021,

Conference Papers | 2021

Watt S; Jovanoski Z; Towers I; Saifuddin R; Sidhu H, 2021, 'Application of a delayed logistic equation to a reindeer population in a closed environment', in Proceedings of the International Congress on Modelling and Simulation, MODSIM, Modelling and Simulation Society of Australia and New Zealand, Sydney, NSW, pp. 260 - 266, presented at 24th International Congress on Modelling and Simulation (MODSIM2021), Sydney, NSW, 05 December 2021,

Conference Papers | 2021

Watt S; Jovanoski Z; Towers I; Saifuddin R; Sidhu H, 2021, 'The population dynamics of ecosystem engineers and habitat modification', in Proceedings of the International Congress on Modelling and Simulation, MODSIM, Modelling and Simulation Society of Australia and New Zealand, Sydney, NSW, pp. 267 - 273, presented at 24th International Congress on Modelling and Simulation (MODSIM2021), Sydney, NSW, 05 December 2021,

Preprints | 2019

Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2019, Memory and mutualism in species sustainability: a time-fractional Lotka-Volterra model with harvesting,

Conference Papers | 2019

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, pp. 102 - 108, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019,

Conference Papers | 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, pp. 768 - 774, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra ACT, 01 December 2019 - 06 December 2019,

Conference Papers | 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, pp. 242 - 248, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019,

Conference Papers | 2018

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,

Conference Papers | 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., Hobart, Tasmania, pp. 127 - 133, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017,

Conference Papers | 2017

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, Hobart, Tasmania, presented at International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017,

Conference Papers | 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,

Conference Papers | 2017

Towers I; Sidhu H; Jovanoski Z; Merrick K; Barlow M, 2017, 'An N-player Trust game: comparison of replicator and logit dynamics', Hobart, Tasmania, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017,

Conference Papers | 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', Hobart, Tasmania, Australia, presented at 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, 03 December 2017 - 08 December 2017

Conference Papers | 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,

Conference Papers | 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

Conference Papers | 2016

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

Other | 2016

Yost D; Morris S (ed.), 2016, Book Review: Calculus and Analysis: A Combined Approach, Australian Mathematical Society,

Conference Papers | 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, Gold Coast, Australia, pp. 36 - 42, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015,

Conference Papers | 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, Gold Coast, Australia, pp. 50 - 56, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015,

Theses / Dissertations | 2015

Dose TD, 2015, Dynamics of Discrete Population Models with Changing Carrying Capacity, ��¼� Canberra

Conference Papers | 2015

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, Gold Coast, Australia, pp. 64 - 70, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015,

Other | 2015

Yost D; Morris S (ed.), 2015, Book Review: Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data, Australian Mathematical Society,

Theses / Dissertations | 2014

Safuan H, 2014, Mathematical Analysis of Population Growth Subject to Environmental Change, ��¼� Canberra

Theses / Dissertations | 2014

Sun Y, 2014, Soliton Dynamics in Frequency-Modulated Lattices

Other | 2014

Yost D; Morris S (ed.), 2014, Book Review: Linear Algebra: Step by Step, Australian Mathematical Society,

Conference Papers | 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, Adelaide, Australia, pp. 256 - 262, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013,

Conference Papers | 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, Brisbane, Australia, pp. 29350-1 - 29350-6, presented at Chemeca 2013, Brisbane, 29 September 2013 - 02 October 2013,

Conference Papers | 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 Proceedings 20th International Congress on Modelling and Simulation Modsim 2013, pp. 99 - 105

Conference Papers | 2013

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, Adelaide, Australia, pp. 99 - 105, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013,

Conference Papers | 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,

Conference Papers | 2011

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,

Conference Papers | 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, presented at 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia

Conference Papers | 2009

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

Preprints | 2002

Band YB; Towers I; Malomed B, 2002, Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential,

Conference Papers | 2001

Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable ring solitons', in 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

Theses / Dissertations | 2001

Towers I, 2001, Spatial Optical Solitions: From Basic Self-Trapping to Spinning Light Bullet Dynamics

Conference Papers | 2000

Buryak AV; Towers I; Sammut RA, 2000, 'Quality of Soliton Multistability', in 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

Conference Papers | 2000

Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping in nonlinear quadratic distributed feedback systems', in 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

Conference Papers | 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, 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

Conference Papers | 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, Optica Publishing Group, Dijon, France, pp. 64 - 66, presented at Nonlinear guided waves and their applications 1999, Dijon, France, 01 September 1999 - 03 September 1999,

Conference Papers | 1999

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, Sydney, pp. 100, presented at Australian optical society 99, Sydney, 06 July 1999 - 09 July 1999

Conference Papers |

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, pp. 208 - 208, presented at Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. TOPS Vol.46,

Current Research

Ecological modelling
Bioinformatics
Nonlinear dynamics

PhD Opportunities and Scholarships

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

My Research Supervision

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Sahar Masoudian��- Stochastic modelling of bushfire spread
Zakir Hossine��- Understanding differential abundance in microbial ecology using community structure

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Past Postgraduate Students

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

My Teaching

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Lecturing on linear algebra and discrete mathematics at the undergraduate level:

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