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).