József Garay's Scientific Homepage

Research interest

  • Evolutionary roots of morality: We proved that if the individuals’ survival rates depend on their group size, then the envy is not an ESS. Based on grandmother hypothesis, we pointed out that the 5th Commandment is also an evolutionary successful rule.
  • Deterministic problems in biomathematics: Population genetics with evolutionary matrix games, Lotka-Volterra models, population models in ecology, evolutionary game theory and game dynamics, game conflicts in ecology: optimal foraging, habitat selection, herd formation, evolution of cooperation, survival games,
  • Random models in evolution theory: evolution of envy and charity, fixation in evolution (origin of monogamy), matrix game under time constrains
  • Mathematical systems theory applied to population biology: monitoring and equilibrium control of population systems, effect of harvesting on the genetics of populations.
  • Applied Entomology: Leslie model and cannibalism
  • Biometrics: boundary detection of plant patches (change point analysis).


1981-1986 M.Sc. in Biology
Eötvös University, Budapest, Hungary
1985-1989 Postgraduate studies in Mathematics (individual curriculum)
Eötvös University, Budapest, Hungary
1990-1994 PhD Student in in the Dept. of Plant Taxonomy and Ecology
1994 Summer school on Evolutionary Models of Cooperation, Seewiesen, Germany
2004 PhD degree at the Hungarian Academy of Science


1986-1990 research assistant in the Ecological Modelling Research Group of the Hungarian Academy of Science
1990-1993 postgraduate scholarship
1993-2006 research fellow at ELTE - MTA Theoretical Biology and Evolutionary Ecology Research Group
2006- senior research fellow at ELTE - MTA Theoretical Biology and Evolutionary Ecology Research Group


  • 1999-2000. Juhász-Nagy Pál junior fellowship (Collegium Budapest Institute for Advanced Study)
  • 2002. NATO research fellowship, Wilfrid Laurier University Waterloo, Canada (2 months)
  • 2005. research fellow at Konrad Lorenz Institute (Austria) (5 months)
  • 2006-2008. Bolyai János fellowship of the Hungarian Academy of Sciences