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.

Submitted

  1. M. Broom, K. Pattni, J. Rychtář. Generalised social dilemmas: the evolution of cooperation in populations with variable group size
  2. S. Sun, M. Leshowitz, J. Rychtář. The signalling game between plants and pollinators
  3. 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

Accepted for publication

  1. 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
  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, DOI 10.1007/s00285-017-1177-7 pdf
  3. 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
  4. Ke'Yona Barton*, Corbin Smith*, Jan Rychtář and Tsvetanka Sendova: Modeling of Breast Cancer Through Evolutionary Game Theory, Involve
  5. 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, DOI 10.1007/s00285-017-1149-y pdf
  6. M. Broom, J. Rychtář. Evolutionary games with sequential decisions and dollar auctions, Dynamic Games and Applications, DOI: 10.1007/s13235-016-0212-4 pdf
  7. 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
  8. M. Broom, J. Rychtář. Nonlinear and multiplayer evolutionary games, Annals of International Society of Dynamic Games

Published

    2017

  1. 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
  2. David Sykes*, Jan Rychtář. Optimal Aggression in Kleptoparasitic Interactions, Involve 10-5 (2017), 735--747. DOI 10.2140/involve.2017.10.735
  3. 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
  4. 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
  5. 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
  6. 2016

  7. M. Broom, J. Rychtář A model of food stealing with asymmetric information, Ecological Complexity 26 (2016): 137-142. pdf
  8. M. Broom, J. Rychtář. Ideal cost-free distributions in structured populations for general payoff functions, Dynamic Games and Applications, doi: 10.1007/s13235-016-0204-4 pdf
  9. A. Nguyen*, J. Saini*, J. Rowell, J. Rychtář. Cooperation in Finite Populations: Being Alone Helps, Journal of Interdisciplinary Mathematics 19 (4), 799-809 pdf
  10. I. Erovenko, J. Rychtář. The evolution of cooperation in one-dimensional mobile populations, Far East Journal of Applied Mathematics 95(1), 63-88. pdf
  11. N. Galanter*, D. Silva*, J. Rowell, J. Rychtář. The Territorial Raider Game and Graph Derangements, Discrete Applied Mathematics 213, 13-16. pdf
  12. 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
  13. 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
  14. 2015

  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. D. Suarez*, P. Suthaharan*, J. Rowell, J. Rychtář Evolution of Cooperation in Mobile Populations, Spora 1 (2015), 2-7 pdf
  23. 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
  24. S. Sun, J. Rychtář. The screening game in plant-pollinator interactions, Evolutionary Ecology 29 (4), 2015: 479-487 pdf
  25. 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
  26. 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
  27. 2014

  28. Broom, M., Rychtář, J., & Sykes, D.*: Kleptoparasitic interactions under asymmetric resource valuation," Mathematical Modelling of Natural Phenomena 9(3), 138-147. pdf
  29. 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
  30. 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
  31. Broom, M. & Rychtář, J. "Asymmetric games in monomorphic and polymorphic populations," Dynamic Games and Applications: Volume 4, Issue 4 (2014), 391-406. pdf
  32. 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
  33. Broom, M., Bruni, M.*, & Rychtář, J. (2014). Analysing territorial models on graphs. Involve, 7 (2), 129-149. pdf
  34. 2013

  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 2012

  41. 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
  42. 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
  43. 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
  44. 2011

  45. (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
  46. (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
  47. (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
  48. (with M. Broom) Kleptoparasitic melees - modelling food stealing featuring contests with multiple individuals, Bulletin of Mathematical Biology, 73, 683-699 pdf
  49. 2010

  50. (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
  51. (with J. Krenicky*) On Volume-Surface area relationship, Involve, a Journal of Mathematics (2010) 3 (1), 1-8. pdf
  52. (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
  53. (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
  54. (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
  55. (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
  56. 2009

  57. (with M. Johanis) On the singled out game, International Journal of Mathematics, Game Theory and Algebra 18 (2009), 479-488. pdf
  58. (with M. Broom) A game theoretical model of kleptoparasitism with incomplete information, Journal of Mathematical Biology 2009 (59) 631-649. pdf
  59. (with M. Broom and R. Luther) A Hawk-Dove game in kleptoparasitic populations, Journal of Combinatorics, Information & System Science 2009 (4), 449-462. pdf
  60. (with M. Broom and B. Stadler*) Evolutionary Dynamics on Small-Order Graphs, Journal of Interdisciplinary Mathematics 2009 (12), 129-140. pdf
  61. (with S. Grundman* and L. Komarkova) A Hawk-Dove game in finite kleptoparasitic populations, Journal of Interdisciplinary Mathematics 2009 (12), 181-201. pdf
  62. (with M. Crowe, M. Fitzgerald* and D. Remington) On deterministic and stochastic models of kleptoparasitism, Journal of Interdisciplinary Mathematics 2009 (12), 161-180. pdf
  63. (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
  64. (with R. Gove*) On the exponential function, Mathematical Spectrum 2009 (41), 116-122. pdf
  65. (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
  66. 2008

  67. (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
  68. (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
  69. (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
  70. (with O. Rueppell and N. Johnson*) Variance-Based Selection May Explain Mating Patterns in Social Insects, Biology Letters 2008 (4), 270-273. pdf
  71. (with B. Stadler*) Evolutionary Dynamics on Small-World Networks, International Journal of Computational and Mathematical Sciences 2 (1), 2008, 1-4.
  72. 2007

  73. (with O. Rivasplata and B. Schmuland) Reversibility for diffusions via quasi-invariance, Acta Univ. Carol. - Math. et Phys 48, 1 (2007), 3-10. pdf
  74. (with M. Johanis) On uniformly Gateaux smooth norms and normal structure, PAMS 135 (2007), 1511-1514. pdf
  75. (with R. D. MacMartin*) On spatial Rock-Paper-Scissors game, Morehead Electronic Journal of Applicable Mathematics 5 (2007) pdf
  76. (with J. Spurny) On Weak* Kadec-Klee norms, Canad. Math. Bull. 50 (4), 2007, 610-618. pdf
  77. (with M. Broom) On evolution of a kleptoparasitic system under adaptive dynamics, J. Math. Biol. 54, 151-177 (2007) pdf
  78. 2006

  79. (with J. Krenicky*) Note on Gabriel's horn, Furman Electronic Journal of Undergraduate Mathematics, 2006, vol 11, pages 4-7. pdf
  80. (with O. Rivasplata and C. Sykes*) Evolutionary games in finite populations, Pro Mathematica 20 (39-40) (2006), 147-164 pdf
  81. (with S. Grivaux) Invariant subspaces of $X^{**}$ under the action of biconjugates, Czech. Math. J. 56 (131), (2006), 61-77. pdf
  82. 2005

  83. On smoothness in WCG spaces, Canad. Bull. Math. 48 (2005), 455-459. pdf
  84. (with P. Hajek) Renorming James tree space, Trans. Amer. Math. Soc. 357 (2005), 3775-3788. pdf
  85. Pointwise uniformly rotund norms, Proc. of the AMS 133 (2005), 2259-2266. pdf
  86. 2004 and sooner

  87. On Biorthogonal systems and Mazur's intersection property, Bull. of Austral. Math. Soc. 69 (2004), 107-111. pdf
  88. Renormings of C(K) spaces, Proc. of the AMS 131 (2003), 2063-2070. pdf
  89. 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.