Publications of József Garay


  1. Garay J., Zsigri G. (1989) Egy koevolúciós modell, melyben szimpatrikus speciáció játszódik le.
  2. Garay, J. (1996) Note on the Lotka-Volterra model and density dependent evolutionary game dynamics Coenoses 11(3):149–151.
  3. Garay, J., Garay, M.,B. (1998) Genetical reachability: When does a sexual population realize all phenotypic states? J. Math. Biol. 37:146–154.
  4. Garay J, Varga Z. (1998) Evolutionarily stable allele distributions. J. Theor. Biol. 191: 163–172
  5. Garay, J., Varga Z. (1998) When will a sexual population evolve to an ESS? Proc. R. Soc. Lond. B 265:1007–1010.
  6. Garay, J. Varga, Z. (1999) Relative advantage: a substitute for mean fitness in Fisher's fundamental theorem? J. Theor. Biol. 201:215–218.
  7. Garay, J. Varga, Z. (2000) Strict ESS for n-species systems. BioSystems 56: 131–137.
  8. Cressman, R., Garay, J., Hofbauer, J. (2001) Evolutionary stability concepts for N-species frequency-dependent interactions. J. Theor. Biol. 211: 1–10.
  9. Garay, J. (2002) Many species partial adaptive dynamics. BioSystems 65: 19–23
  10. Garay, B.M., Garay, J. (2002) Total separation and asymptotic stability. Univ. Iagell. Acta Math. Fasc. XL. 126–136.
  11. Cressman, R., Garay, J. (2003) Evolutionary stability in Lotka-Volterra systems. J. Theor. Biol. 222: 233–245.
  12. Garay, J., Varga, Z. (2003) Coincidence of ESAD and ESS in Dominant-recessive Hereditary Systems. J. Theor. Biol. 222: 297–305.
  13. Garay, J. (2003) When does the variance of replicator fitness decrease? J. Math. Biol. 47(5): 457–464.
  14. Cressman, R., Garay, J., Varga, Z. (2003) Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection. J. Math. Biol. 47(5): 465–482.
  15. Cressman, R., Garay, J. (2003) Stablility N-species coevolutionary systems. Theor. Pop. Biol. 64: 519–533.
  16. Garay, J., Cressman, R., Varga, Z., (2003) Optimal behaviour of honey bees based on imitation at fixed densities. Com. Ecol. 4(2): 219–224.
  17. Cressman, R., Krivan, V., Garay, J. (2004) Ideal free distributions, evolutionary games, and population dynamics in multiple-species environments. Am. Nat. 164(4): 473–489.
  18. Cressman, R., Garay, J., Scarelli, A., Varga, Z. (2004) The dynamic stability of coalitionist behaviour for two-strategy bimatrix games. Theory and Decision 56(1-2): 141–152.
  19. Garay J. (2005) Több fajra vonatkozó evolúciós stabilitási fogalmak. Magyar Tudomány 2005/4: 290–299.
  20. Cressman, R., Garay, J. 2006. A game-theoretical model for punctuated equilibrium: species invasion and stasis through coevolution. BioSystem 84: 1–14.
  21. Lopez, I., Gámez, M, Varga, Z. Garay, J.  2007 Monitoring in a Lotka-Volterra model. BioSystems 87: 68–74.
  22. Garay, J. Varga, Z. (2005) Evolutionary dynamics for economic behaviour: competition versus optimization. PUMA 16: 1–11.
  23. Sebestyén Z., Varga Z., Garay J., and Cimmaruta R. 2008. Dynamic model and simulation analysis of the genetic impact of population harvesting (2010). Applied Mathematics and Computation 216(2): 565–575. IF: 0,961
  24. Garay J. 2009. Cooperation in defence against a predator. Journal of Theoretical Biology 257: 45-51 (doi:10.1016/j.jtbi.2008.11.010)
  25. M. Gámez, I. López, J. Garay, Z. Varga. 2009. Observation and control in a model of a cell population affected by radiation. Biosystems 96, 172–177.
  26. I. López , J. Garay, R. Carreno, Z. Varga, 2009. Observer Design for Ecological Monitoring Proceedings of World Academy of Science, Engineering and Technology (ISSN: 2070-3724) 54: 371–375
  27. Cressman, R., Garay, J 2009. A Predator-Prey Refuge System: Evolutionary Stability in Ecological Systems Theor. Pop. Biol. 76: 248-257.
  28. I. López, M. Gámez, J. Garay, T. Standovár and Z. Varga. 2010. Application of change-point problem to the detection of plant patches Acta Biotheoretica 58:51–63
  29. Z. Varga, A. Scarelli, R. Cressman and J. Garay. 2010. Evolutionary game model for a marketing cooperative with penalty for unfaithfulness. Nonlinear Analysis: Real World Applications 11: 742–749
  30. Garay, J. Móri, F. T. 2010. When is the opportunism remunerative? Community Ecol. 11: 160–170
  31. Garay J. 2011. Active centrum hypothesis: The origin of chiral homogeneity and the RNA-world. BioSystems 103: 1–12
  32. Ross Cressman, József Garay 2011. The effects of opportunistic and intentional predators on the herding behavior of prey. Ecology 92: 432–440
  33. József Garay, Tamás F. Móri 2011. Is envy one of the possible evolutionary roots of charity? Biosystems 106: 28–35.
  34. Garay J.,Varga Z. 2011. Survivor's dilemma: Defend the group or flee? Theor. Pop. Biol. 80: 217–225.
  35. Cabello, T., Manuel Gámez, M.; Torres A.; Garay, J. 2011. Possible effects of inter-specific competition on the coexistence of two parasitoid species: Trichogramma brassicae Bezdenko and Chelonus oculator (F.) (Hym.: Trichogrammatidae, Braconidae). Community Ecology 12: 78–88.
  36. A. Scarelli, J. Garay and Z. Varga, 2011. Game-theoretic model for the conflict of producers with the environmental policy of the government. Journal of Environmental Protection and Ecology 12(3 A): 1544–1550
  37. Garay, J.Varga Z, Cabello T, Gamez M. 2012. Optimal nutrient foraging strategy of an omnivore: Liebig’s law determining numerical response. J. Theor. Bio. 310: 31–42
  38. Gámez, M., López, I., Varga Z., Garay J. 2012. Stock estimation, environmental monitoring and equilibrium control of a fish population with reserve area. Reviews in Fish Biology and Fisheries 22: 751–766.
  39. López, I., T. Standovár, J. Garay, Z. Varga and M. Gámez, 2012. Statistical detection of spatial plant patterns under the effect of forest use. International Journal of Biomathematics 5: 1250054
  40. Garay J. & Móri T 2012. Monogamy has a fixation advantage based on fitness variance in an ideal promiscuity group. Bull. Math. Biol. 74: 2676–2691
  41. József Garay, Villő Csiszár, Tamás F. Móri 2014. Under multilevel selection: "When shall you be neither spiteful nor envious?" Journal of Theoretical Biology 340: 73–84
  42. Cressman R, Křivan V, Brown JS, Garay J 2014. Game-Theoretic Methods for Functional Response and Optimal Foraging Behavior. PLoS ONE 9(2): e88773
  43. József Garay, Zoltán Sebestyén, Zoltán Varga, Manuel Gámez, Alejandro Torres, José E. Belda, Tomás Cabello 2014. A new multistage dynamic model for biological control exemplified by the host-parasitoid system Spodoptera exigua-Chelonus oculator. Journal of Pest Science 88(2): 343–358. DOI:10.1007/s10340-014-0609-z
  44. József Garay J., Varga Z., Gámez M., Cabello T. 2015. Functional response and population dynamics for fighting predator, based on activity distribution. Journal of Theoretical Biology 368: 74–82
  45. Cabello, T., Bonfil F., Gallego J.R., Fernandez F.J., Gamez M., Garay J. 2015. Can Interactions Between an Omnivorous Hemipteran and an Egg Parasitoid Limit the Level of Biological Control for the Tomato Pinworm? Environ. Entomol. 44(1): 12–26. DOI: 10.1093/ee/nvu017
  46. József Garay, Ross Cressman, Fei Xu, Zoltan Varga, and Tomás Cabello. 2015. Optimal Forager against Ideal Free Distributed Prey. American Naturalist 186(1): 111–122. DOI: 10.1086/681638
  47. Molnár Sándor, López, López, Gámez, Manuel, Garay József. 2016. A two-agent model applied to the biological control of the sugarcaneborer (Diatraea saccharalis) by the egg parasitoid Trichogramma galloiand the larvae parasitoid Cotesia flavipes. BioSystems 141: 45–54 DOI: 10.1016/j.biosystems.2016.02.002
  48. Garay József, Varga Zoltán, Gámez, Manuel, Cabello, Tomas 2016. Sib cannibalism can be adaptive for kin. Ecological Modelling 334: 51–59
  49. López, I., Rodríguez, C., Gámez, M. Varga Z. and Garay J. 2016. Change-Point Method Applied to the Detection of Temporal Variations in Seafloor Bacterial Mat Coverage. Journal of Environmental Informatics 29(2): doi:10.3808/jei.201500330
  50. Garay J., Császár V., Móri T.F. 2016. Evolutionary stability for matrix games under time constraints. Journal of Theoretical Biology 415:1–12
  51. M. Gamez, I. Lopez, C, Rodriguez, Z. Varga, J. Garay 2017. Ecological monitoring in a discrete-time prey-predator model. Journal of Theoretical Biology, 429: 52–60
  52. F.J. Fernandez-Maldonado, J.R. Gallego, A. Valencia, M. Gamez, Z. Varga, J. Garay, Tomas Cabello 2017. Cannibalism: Do risks of fighting and reprisal reduce predatory rates? Community Ecology,18(1): 87–96
  53. Garay, J., Csiszár,  V., Móri T.F. 2017. Survival Phenotype, Selfish Individual versus Darwinian Phenotype. Journal of Theoretical Biology 430: 86–91 10.1016/j.jtbi.2017.06.031
  54. Gámez M,. Lópeza, I. Rodríguez C, Varga, Z., Garay, J 2017. Observation and control in models of population genetics. Journal of the Franklin Institute, 354: 7359–7384
  55. Garay József, Varga Zoltán, Móri Tamás F., Inmaculada López, Manuel Gámez, Juan R. Gallego & Tomás Cabello 2018. Opportunistic random searcher versus intentional search image user. Scientific Reports, 8: 3336 [pdf]
  56. Gámez, Manuel; Inmaculada, López; Carmelo, Rodríguez; Varga Zoltán, Garay József. 2018. Game-theoretical model for marketing cooperative in fisheries. Applied Mathematics and Computation 329: 325–338 [pdf]
  57. Garay József, Csiszár Villő, Móri Tamás F., Szilágyi András, Varga Zoltán, Számadó Szabolcs. 2018. Juvenile honest food solicitation and parental investment as a life history strategy: A kin demographic selection model. PLoS ONE DOI:10.1371/journal.pone.0193420 [pdf]
  58. Garay, J., Cressman, R., Móri, T.F. Varga, Z. 2018. The ESS and replicator equation in matrix games under time constraints. J. Math. Biol. 76: 1951–1973. [pdf]
  59. Garay J., Számadó Sz., Varga Z., Szathmáry E. 2018. Caring for parents: an evolutionary rationale. BMC Biology, 16:53
  60. Sanchez, C., Gamez, M., Burguillo, F. Garay J. and Cabello, T. 2018. Comparison of predator-parasitoid-prey interaction models for different host plant qualities. Community Ecology 19(2):125–132 [pdf]
  61. József Garay, Barnabás M. Garay, Zoltán Varga, Villő Csiszár, Tamás F. Móri. 2019. To save or not to save your familymember’s life? Evolutionary stability of self-sacrificing life history strategy inmonogamous sexual populations. BMC Evolutionary Biology 19:147. DOI:
  62. Garay J. 2019 Technical review on derivation methods for behavior dependent functional responses. Community Ecology 20(1): 28–44. DOI:
  63. Cressman, R., Koller, M., Garay, M.B., Garay, J. 2019. Evolutionary Substitution and Replacement in N-Species Lotka–Volterra Systems. Dynamic Games and Applications, DOI: 10.1007/s13235-019-00324-0
  64. Varga, T., Móri, T.F. & Garay, J. 2020. The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics. J. Math. Biol. 80: 743–774.
  65. Fernandez, F.J.; Gamez, M.; Garay, J.; Cabello, T. 2020. Do development and diet determine the degree of cannibalism in insects? To eat or not to eat conspecifics. Insects 11:242.

Book Chapters

  • Garay, J. (2005) A természetes szelekció Fisher-féle alaptétele és lehetséges kiterjesztései. In ed. Jordán, F. A DNS-től a globális felmelegedésig. Sciencia Kiadó, Budapest, 77-86.
  • Garay, J. (2007) Adaptive dynamics based on ecological stability. pp. 271-287. (In "Advances in Dynamics Game Theory: Numerical Methods, Algorithms and Applications to Ecology and Economics" Ed. Jorgensen S., Quincampoix M, Vincent T. L.) Annals of International Society of Dynamics Games, Birkhauser, Boston, Basel, Berlin
  • Garay, J. (2007) Relative advantage and fundamental theorems of natural selection. In. Mathematical Modelling of biological Systems, vol. II. : Eds: Deutsch, A, Parra R.B., Boer, R.J., Dieckman, O., Jagers, P., Kisdi É., Kretzschmar, M., Lansky, P., Metz, H. 63-74.Birkhauser, Boston, Basel, Berlin