Jan Rychtář

Publications

Authors with * are (were) undergraduate students when the research was conducted.

Book

Broom, M. & Rychtář, J. (2013). Game-Theoretical Models in Biology, CRC Press. web.

Accepted for publication

  1. M. Broom, K. Pattni, J. Rychtář. Generalised social dilemmas: the evolution of cooperation in populations with variable group size

Published

    2018

  1. 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 25802599.
  2. C. Hadjichrysanthou, M. Broom, J. Rychtář. Models of kleptoparasitism on networks: the effect of population structure on food stealing behaviour, Journal of Mathematical Biology, 76, 1465-1488, DOI 10.1007/s00285-017-1177-7 pdf
  3. 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 pdf
  4. K. Pattni, M. Broom, J. Rychtář. Evolving multiplayer networks: Modelling the evolution of cooperation in a mobile population, Discrete and Continuous Dynamical Systems - Series B, 2018, 23(5): 1975-2004. doi: 10.3934/dcdsb.2018191 pdf
  5. M. Broom, J. Rychtář. Evolutionary games with sequential decisions and dollar auctions, Dynamic Games and Applications 8, 211-231, DOI: 10.1007/s13235-016-0212-4 pdf
  6. M. Broom, J. Rychtář. Ideal cost-free distributions in structured populations for general payoff functions, Dynamic Games and Applications 2018, 8(1), 79-92 , doi: 10.1007/s13235-016-0204-4 pdf
  7. Ke'Yona Barton*, Corbin Smith*, Jan Rychtář and Tsvetanka Sendova: Modeling of Breast Cancer Through Evolutionary Game Theory, Involve 11:4 (2018), 541-548 pdf
  8. M. Broom, M. Johanis, J. Rychtář. The effect of fight cost structure on fighting behaviour involving simultaneous decisions and variable investment levels. Journal of Mathematical Biology (2018) 76:457-482, DOI 10.1007/s00285-017-1149-y pdf
  9. 2017

  10. S. Gupta, I. Erovenko, H. Oh, D. Taylor, J. Rychtář. Undergraduate students can do meaningful research, Special Proceedinggs of the 19th Annual Conference of SSCA, 21-29, pdf
  11. K. Pattni, M. Broom, J. Rychtář. Evolutionary dynamics and the evolution of multiplayer cooperation in a subdivided population, Journal of Theoretical Biology 429 (2017), 105-115, DOI 10.1016/j.jtbi.2017.06.034 pdf
  12. David Sykes*, Jan Rychtář. Optimal Aggression in Kleptoparasitic Interactions, Involve 10-5 (2017), 735--747. DOI 10.2140/involve.2017.10.735
  13. T. Hagedorn, A. Li, J. Rychtář, D. Taylor. Introduction to the Special Issue on Perspectives and Experiences on Mentoring Undergraduate Students in Research: Part II, PRIMUS 27:4-5, 437-441, DOI: 10.1080/10511970.2017.1289576 pdf
  14. T. Hagedorn, A. Li, J. Rychtář, D. Taylor. Introduction to the Special Issue on Perspectives and Experiences on Mentoring Undergraduate Students in Research: Part I, PRIMUS, 27:3, 315-319, DOI: 10.1080/10511970.2017.1289575 pdf
  15. N. Galanter*, D. Silva*, J. Rowell, J. Rychtář. Resource competition amid overlapping territories: The territorial raider model applied to multi-group interactions, Journal of Theoretical Biology (2017) 412, 100-106, doi: 10.1016/j.jtbi.2016.10.007 pdf
  16. 2016

  17. M. Broom, J. Rychtář. Nonlinear and multiplayer evolutionary games, In: Thuijsman F., Wagener F. (eds) Advances in Dynamic and Evolutionary Games. Annals of the International Society of Dynamic Games, vol 14. Birkhauser, Cham, DOI https://doi.org/10.1007/978-3-319-28014-1_5 pdf
  18. I. Redding*, M. Kelley*, J. Rowell, J. Rychtář A Continuous Ideal Free Distribution Approach to the Dynamics of Selfish, Cooperative, and Kleptoparasitic Populations, Royal Society Open Science 3: 160788. http://dx.doi.org/10.1098/rsos.160788 pdf
  19. M. Broom, J. Rychtář A model of food stealing with asymmetric information, Ecological Complexity 26 (2016): 137-142. pdf
  20. A. Nguyen*, J. Saini*, J. Rowell, J. Rychtář. Cooperation in Finite Populations: Being Alone Helps, Journal of Interdisciplinary Mathematics 19 (4), 799-809 pdf
  21. I. Erovenko, J. Rychtář. The evolution of cooperation in one-dimensional mobile populations, Far East Journal of Applied Mathematics 95(1), 63-88. pdf
  22. N. Galanter*, D. Silva*, J. Rowell, J. Rychtář. The Territorial Raider Game and Graph Derangements, Discrete Applied Mathematics 213, 13-16. pdf
  23. C. Dorsett*, H. Oh, M. Paulemond*, J. Rychtář. Optimal repellent usage to combat Dengue Fever, Bulletin of Mathematical Biology, 78(5), 916-922, 10.1007/s11538-016-0167-z pdf
  24. 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. pdf
  25. 2015

  26. Johanis, M., Rychtář, J.: A three player singled out game, Journal of Statistical Theory and Practice 9:4, 882-895, DOI: 10.1080/15598608.2015.1042174 pdf
  27. K. Pattni, M. Broom, L. Silvers, J. Rychtář. Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process?, Proceedings of the Royal Society A 471: 20150334. http://dx.doi.org/10.1098/rspa.2015.0334 pdf
  28. K. Crawford*, A. Lancaster*, H. Oh, J. Rychtář. A voluntary use of insecticide-treated cattle can eliminate African sleeping sickness, Letters in Biomathematics 2015 2:1, 91-102, DOI: 10.1080/23737867.2015.1111777 pdf
  29. E. Thompson*, J. Everett*, J. Rowell, J. Rychtář, O. Rueppell: The Evolution of Cooperation is affected by the Persistence of Fitness Effects, the Neighborhood Size and their Interaction, Letters in Biomathematics 2015 2:1, 67-78, DOI: 10.1080/23737867.2015.1090890 pdf
  30. Mark Broom, Charlotte Lafaye*, Karan Pattni, Jan Rychtář. A study of the dynamics of multi-player games on small networks using territorial interactions, Journal of Mathematical Biology 71 (6), 1551-1574, DOI: 10.1007/s00285-015-0868-1 pdf
  31. David Sykes*, Jan Rychtář. A Game Theoretic Approach to Valuating Toxoplasmosis Vaccination Strategies, Theoretical Population Biology, Volume 105 (2015), 33-38, DOI: 10.1016/j.tpb.2015.08.003 pdf
  32. Broom, M., Johanis, M., & Rychtář, J. "The effect of fight cost structure on fighting behaviour," Journal of Mathematical Biology, Volume 71, Issue 4 (2015), Page 979-996. DOI:10.1007/s00285-014-0848-x pdf
  33. D. Suarez*, P. Suthaharan*, J. Rowell, J. Rychtář Evolution of Cooperation in Mobile Populations, Spora 1 (2015), 2-7 pdf
  34. J. Rowell, J. Rychtář. Cooperative Behavior in Theory and Practice: Leading Undergraduate Research in Behavioral Mathematical Biology . Letters in Biomathematics 2(2015), 29-45. DOI: 10.1080/23737867.2015.1035571 pdf
  35. S. Sun, J. Rychtář. The screening game in plant-pollinator interactions, Evolutionary Ecology 29 (4), 2015: 479-487 pdf
  36. Ross, C.*, Rychtář, J., Rueppell, O.: A structured population model suggests that long lifeand post-reproductive life span promote the evolution of cooperation, Journal of Theoretical Biology 369(2015), 85-94. DOI: 10.1007/s00285-015-0868-1 pdf
  37. Jasmine Everett*, Marwah Jasim*, Hyunju Oh and Jan Rychtář, Hakimah Smith*: Modeling the Asian Carp Invasion Using Mathematical Evolutionary Game Theory, Springer Proceedings in Mathematics and Statistics, 2015, 81-90 pdf
  38. 2014

  39. Broom, M., Rychtář, J., & Sykes, D.*: Kleptoparasitic interactions under asymmetric resource valuation," Mathematical Modelling of Natural Phenomena 9(3), 138-147. pdf
  40. Rychtář, J., Frynta, D., Tomek, J., Varadinova, Z., & Brom, C. (2014) "Waste recycling can promote group living: A cockroach case study.", Letters in Biomathematics 1(1), 17-22, pdf
  41. Rychtář, J., Frynta, D., Tomek, J., Varadinova, Z., & Brom, C. (2014) "Waste recycling can promote group living: A cockroach case study.", Proceedings of the Symposium on Biomathematics and Ecology: Education and Research pdf
  42. Broom, M. & Rychtář, J. "Asymmetric games in monomorphic and polymorphic populations," Dynamic Games and Applications: Volume 4, Issue 4 (2014), 391-406. pdf
  43. Daniela Seifertova, Petr Skupa, Jan Rychtář, Martina Lankova, Marketa Parezova, Petre I. Dobrev, Klara Hoyerova, Jan Petrasek and Eva Zazimalova (2014). Auxin transport in Arabidopsis suspension-cultured cells, Journal of Plant Physiology. pdf
  44. Broom, M., Bruni, M.*, & Rychtář, J. (2014). Analysing territorial models on graphs. Involve, 7 (2), 129-149. pdf
  45. 2013

  46. Crowe, M., Rychtář, J., Rueppell, O., Chhetri, M., Remington, D., Sat Gupta (2013). Proving the proof- interdisciplinary undergraduate research positively impacts students. Springer Proceedings in Mathematics & Statistics, 64, 25-30. pdf
  47. Broom, M., Rychtář, J., & Sykes, D.* (2013). The effect of information on payoffs in kleptoparasitic interactions. Springer Proceedings in Mathematics & Statistics, 64, 125-134. pdf
  48. Ross, C.*, Rueppell, O., & Rychtář, J. (2013). Ross, C., Rueppell, O., & Rychtar, J. (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. pdf
  49. Covanova, M., Sauer, M., Rychtář, J., Friml, J., Petrasek, J., Eva Zazimalova (2013). Overexpression of the AUXIN BINDING PROTEIN1 Modulates PIN-dependent Auxincells. PlosOne, 8 (7), e70050. pdf
  50. Crowe, M., Raspet, E.*, Rychtář, J., & Gupta, S. (2013). Effect of Density and Extra Dung on Brood Parasitism in the Dung Beetle, Onthophagus taurus. Journal of Insect Behavior, 26 (2), 253-259. pdf
  51. 2012

  52. Broom, M. & Rychtář, J. (2012). A general framework for analysing multiplayer games in networks using territorial interactions as a case study. Journal of Theoretical Biology, 302, 70-80. pdf
  53. Barker, H., Broom, M., & Rychtář, J. (2012). A game theoretic model of parasitism with strategic arrivals and departures of beetles at dung pats. Journal of Theoretical Biology, 300, 292-298. pdf
  54. 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 pdf
  55. 2011

  56. (with M. Broom and 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 pdf
  57. (with M. Broom, C. Hadjichrysanthou) Evolutionary games on star graphs under various updating rules, Dynamic Games and Its Applications, 2011, Volume 1, Number 3, 386-407 (DOI) 10.1007/s13235-011-0022-7 pdf
  58. (with M. Wilhelm*, M. Chhetri, O. Rueppell) A Game Theoretical Analysis of the Mating Sign Behavior in the Honey bee, Bulletin of Mathematical Biology, 73, 626-638 pdf
  59. (with M. Broom) Kleptoparasitic melees - modelling food stealing featuring contests with multiple individuals, Bulletin of Mathematical Biology, 73, 683-699 pdf
  60. 2010

  61. (with M. Johanis) An enhanced model of a two player singled out game, Journal of Statistical Theory and Practice, 4 (4), 679-697, 2010 pdf
  62. (with J. Krenicky*) On Volume-Surface area relationship, Involve, a Journal of Mathematics (2010) 3 (1), 1-8. pdf
  63. (with E. Jones, R. Bunch, R. Gove*) Calculating the Size of the Neighborhod in Spatial Social Networks, Far East Journal of Applied Mathematics 39 (2010), 53-69. pdf
  64. (with M. Broom, M. Crowe, M. Fitzgerald*) 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 pdf
  65. (with M. Broom, C. Hadjichrysanthou, 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) pdf
  66. (with M. Broom and C. Hadjichrysanthou) Evolutionary games on graphs and the speed of the evolutionary process, Proc. Royal Soc., Ser. A 466 (2010), 1327-1346, doi 10.1098/rspa2009.0487. pdf
  67. 2009

  68. (with M. Johanis) On the singled out game, International Journal of Mathematics, Game Theory and Algebra 18 (2009), 479-488. pdf
  69. (with M. Broom) A game theoretical model of kleptoparasitism with incomplete information, Journal of Mathematical Biology 2009 (59) 631-649. pdf
  70. (with M. Broom and R. Luther) A Hawk-Dove game in kleptoparasitic populations, Journal of Combinatorics, Information & System Science 2009 (4), 449-462. pdf
  71. (with M. Broom and B. Stadler*) Evolutionary Dynamics on Small-Order Graphs, Journal of Interdisciplinary Mathematics 2009 (12), 129-140. pdf
  72. (with S. Grundman* and L. Komarkova) A Hawk-Dove game in finite kleptoparasitic populations, Journal of Interdisciplinary Mathematics 2009 (12), 181-201. pdf
  73. (with M. Crowe, M. Fitzgerald* and D. Remington) On deterministic and stochastic models of kleptoparasitism, Journal of Interdisciplinary Mathematics 2009 (12), 161-180. pdf
  74. (with M. Chhetri, N. Johnson* and 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 pdf
  75. (with R. Gove*) On the exponential function, Mathematical Spectrum 2009 (41), 116-122. pdf
  76. (with M. Crowe, M. Fitzgerald*, D. Remington, G. Ruxton) 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. pdf
  77. 2008

  78. (with M. Broom and C. Sykes*) The evolution of kleptoparasitism under adaptive dynamics without restrictions, Journal of Interdisciplinary Mathematics Vol 11 (2008), No 4, pp479-494. pdf
  79. (with M. Broom, R. Luther and G. Ruxton) A game-theoretic model of kleptoparasitic behavior in polymorphic populations, Journal of Theoretical Biology 2008 (255) 81-91, DOI 10.1016/j.tbi.2008.08.001. pdf
  80. (with M. Broom) An analysis of the fixation probability of a mutant on special classes of non-direction graphs, Proc. Royal Soc., Ser. A 2008 (464), 2609-2627. pdf
  81. (with O. Rueppell and N. Johnson*) Variance-Based Selection May Explain Mating Patterns in Social Insects, Biology Letters 2008 (4), 270-273. pdf
  82. (with B. Stadler*) Evolutionary Dynamics on Small-World Networks, International Journal of Computational and Mathematical Sciences 2 (1), 2008, 1-4.
  83. 2007

  84. (with O. Rivasplata and B. Schmuland) Reversibility for diffusions via quasi-invariance, Acta Univ. Carol. - Math. et Phys 48, 1 (2007), 3-10. pdf
  85. (with M. Johanis) On uniformly Gateaux smooth norms and normal structure, PAMS 135 (2007), 1511-1514. pdf
  86. (with R. D. MacMartin*) On spatial Rock-Paper-Scissors game, Morehead Electronic Journal of Applicable Mathematics 5 (2007) pdf
  87. (with J. Spurny) On Weak* Kadec-Klee norms, Canad. Math. Bull. 50 (4), 2007, 610-618. pdf
  88. (with M. Broom) On evolution of a kleptoparasitic system under adaptive dynamics, J. Math. Biol. 54, 151-177 (2007) pdf
  89. 2006

  90. (with J. Krenicky*) Note on Gabriel's horn, Furman Electronic Journal of Undergraduate Mathematics, 2006, vol 11, pages 4-7. pdf
  91. (with O. Rivasplata and C. Sykes*) Evolutionary games in finite populations, Pro Mathematica 20 (39-40) (2006), 147-164 pdf
  92. (with S. Grivaux) Invariant subspaces of $X^{**}$ under the action of biconjugates, Czech. Math. J. 56 (131), (2006), 61-77. pdf
  93. 2005

  94. On smoothness in WCG spaces, Canad. Bull. Math. 48 (2005), 455-459. pdf
  95. (with P. Hajek) Renorming James tree space, Trans. Amer. Math. Soc. 357 (2005), 3775-3788. pdf
  96. Pointwise uniformly rotund norms, Proc. of the AMS 133 (2005), 2259-2266. pdf
  97. 2004 and sooner

  98. On Biorthogonal systems and Mazur's intersection property, Bull. of Austral. Math. Soc. 69 (2004), 107-111. pdf
  99. Renormings of C(K) spaces, Proc. of the AMS 131 (2003), 2063-2070. pdf
  100. Uniformly G\^ateaux differentiable norms in spaces with unconditional basis, Serdica Math. J. 26 (2000), 353-358. pdf

Other works

  1. (with J. Krenicky*) On Replicator Dynamics and Evolutionary Games, Explorations - The Journal of Undergraduate Research and Creative Activities for the state of North Carolina, 2006, 73-79 pdf
  2. (with R. Gove*)A slice of Pi, Explorations - The Journal of Undergraduate Research and Creative Activities for the state of North Carolina (2007) pdf
  3. On invariant subspaces of biduals, WDS'02 - Proceedings of contributed papers, pages 173-176, 2002.
  4. URED norms, WDS'01 - Proceedings of contributed papers, 90-94, 2001.
  5. Noneuclidean Geometry, Proc. of Math. Competition for High Schools (non refereed), Parts 1, 3, 5, (1996/10, 1997/01, 1997/04), 12 pages in total.