Department of Mathematics and Statistics

Mathematical Biology

Student Publications

Names in bold are UNCG students.

  • J. Kobe, N. Pritchard, Z. Short, I.V. Erovenko, J. Rychtář, J. T. Rowell; A Game-Theoretic Model of Cholera With Optimal Personal Protection Strategies, Bulletin of Mathematical Biology, 2018, vol. 80, Issue 10, pp 2580-2599.
  • S. Sun, M. Leshowitz, J. Rychtář. The signalling game between plants and pollinators, Scientific Reports, (2018) 8:6686, DOI:10.1038/s41598-018-24779-0.
  • David Sykes, Jan Rychtář. Optimal Aggression in Kleptoparasitic Interactions, Involve 10-5 (2017), 735--747. DOI 10.2140/involve.2017.10.735.
  • A. Nguyen, J. Saini, J. Rowell, J. Rychtář. Cooperation in Finite Populations: Being Alone Helps, Journal of Interdisciplinary Mathematics 19 (4), 799-80.
  • M. Broom, J. Rychtář, Tracy Spears-Gill. (2016) The game-theoretical model of using insecticide-treated bed-nets to fight malaria, Applied Mathematics 7, 852-860.
  • D. Sykes, J. Rychtář. A Game Theoretic Approach to Valuating Toxoplasmosis Vaccination Strategies, Theoretical Population Biology, Volume 105 (2015), 33-38, DOI: 10.1016/j.tpb.2015.08.00.
  • D. Suarez, P. Suthaharan, J. Rowell, J. Rychtář. Evolution of Cooperation in Mobile Populations, Spora 1 (2015), 2-7.
  • M. Broom, J. Rychtář, D. Sykes. Kleptoparasitic interactions under asymmetric resource valuation," Mathematical Modelling of Natural Phenomena (2014) 9(3), 138-147.
  • M. Broom, J. Rychtář, D. Sykes (2013). The effect of information on payoffs in kleptoparasitic interactions. Springer Proceedings in Mathematics & Statistics, 64, 125-134.
  • C. Ross, O. Rueppell, J. Rychtář(2013). A spatially organized population model to study the evolution of cooperation in species with discrete life-history stages. Springer Proceedings in Mathematics & Statistics, 64, 147-154.
  • M. Crowe, E. Raspet, J. Rychtář, S. Gupta (2013). Effect of Density and Extra Dung on Brood Parasitism in the Dung Beetle, Onthophagus taurus. Journal of Insect Behavior, 26 (2), 253-259.
  • H. Barker, M. Broom, J. Rychtář,(2012). A game theoretic model of parasitism with strategic arrivals and departures of beetles at dung pats. Journal of Theoretical Biology, 300, 292-298.
  • R. Gove, W. Chen*, N. Zweber, R. Erwin, J. Rychtář,D. Remington. Effects of causal networks on the structure and stability of resource allocation trait correlations, Journal of Theoretical Biology, 293, 1-14, doi:10.1016/j.jtbi.2011.09.034.
  • M. Broom, J. Rychtář, B. Stadler. Evolutionary dynamics on graphs - the effect of graph structure and initial placement on mutant spread, the Journal of Statistical Theory and Practice, 2011, Volume 5, No 3, 369-381.
  • M. Wilhelm, M. Chhetri, J. Rychtář, O. Rueppell. A Game Theoretical Analysis of the Mating Sign Behavior in the Honey bee, Bulletin of Mathematical Biology (2011), 73, 626-638.
  • M. Broom, M. Crowe, M. Fitzgerald, J. Rychtář. The stochastic modelling of kleptoparasitism using a Markov process, Journal of Theoretical Biology 2010, 264(2):266-272, doi:10.1016/j.jtbi.2010.01.012.
  • M. Broom, C. Hadjichrysanthou, J. Rychtář, B. Stadler. Two results on evolutionary processes on general non-directed graphs, Proc. R. Soc. A 2010 466(2121), 2795-2798. ( doi: 10.1098/rspa.2010.0067).
  • M. Broom, J. Rychtář, B. Stadler. Evolutionary Dynamics on Small-Order Graphs, Journal of Interdisciplinary Mathematics 2009 (12), 129-140.
  • S. Grundman, L. Komarkova, J. Rychtář. A Hawk-Dove game in finite kleptoparasitic populations, Journal of Interdisciplinary Mathematics 2009 (12), 181-201.
  • M. Crowe, M. Fitzgerald, D. Remington, J. Rychtář. On deterministic and stochastic models of kleptoparasitism, Journal of Interdisciplinary Mathematics 2009 (12), 161-180.
  • M. Chhetri, N. Johnson, J. Rychtář, O. Rueppell. Revisiting the variance-based selection model of diploid drone production for multiple mating in honey bees, Journal of Interdisciplinary Mathematics 2009 (12), 141-160.
  • M. Crowe, M. Fitzgerald, D. Remington, G. Ruxton, J. Rychtář. Game Theoretic Model of Brood Parasitism in a dung beetle Ontophagus taurus, Journal Evolutionary Ecology 23 (2009), 765-776, DOI 10.1007/s10682-008-9271-3.
  • M. Broom, J. Rychtář, C. Sykes. The evolution of kleptoparasitism under adaptive dynamics without restrictions, Journal of Interdisciplinary Mathematics Vol 11 (2008), No 4, pp479-494.
  • O. Reuppell, J. Rychtář, N. Johnson. Variance-Based Selection May Explain Mating Patterns in Social Insects, Biology Letters 2008 (4), 270-273.
  • J. Rychtář, B. Stadler. Evolutionary Dynamics on Small-World Networks, International Journal of Computational and Mathematical Sciences 2 (1), 2008, 1-4.
  • R. D. MacMartin, J. Rychtář. On spatial Rock-Paper-Scissors game, Morehead Electronic Journal of Applicable Mathematics 5 (2007) .