Effect of inherited genetic information on stochastic predator-prey model

We discuss the Lotka-Volterra dynamics of two populations, preys and predat ors, in the case when the predators posses a genetic information. The genet ic information is inherited according to the rules of the Penna model of ge netic evolution. Each individual of the predator population is uniquely det ermined by sex, genotype and phenotype. In our case, the genes are represen ted by 8-bit integers and the phenotypes are defined with the help of the 8 -state Potts model Hamiltonian. We showed that during time evolution, the p opulation of the predators can experience a series of dynamical phase trans itions which are connected with the different types of the dominant phenoty pes present in the population.