EFFECT OF INHERITED GENETIC INFORMATION ON STOCHASTIC PREDATOR-PREY MODEL

Artur Duda, Paweł Dyś, Alekandra Nowicka and Mirosław R. Dudek ()
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Artur Duda: Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50-204 Wrocław, Poland
Paweł Dyś: Institute of Theoretical Physics, University of Wrocław, pl. Maxa Borna 9, 50-204 Wrocław, Poland
Alekandra Nowicka: Institute of Microbiology, University of Wrocław, ul. Przybyszewskiego 63/77, 54-148 Wrocław, Poland
Mirosław R. Dudek: Institute of Physics, Pedagogical University, 65-069 Zielona Góra, Poland

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 08, 1527-1538

Abstract: We discuss the Lotka–Volterra dynamics of two populations, preys and predators, in the case when the predators posses a genetic information. The genetic information is inherited according to the rules of the Penna model of genetic evolution. Each individual of the predator population is uniquely determined by sex, genotype and phenotype. In our case, the genes are represented 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 population of the predators can experience a series of dynamical phase transitions which are connected with the different types of the dominant phenotypes present in the population.

Keywords: Lotka–Volterra Equations; Penna Model; Evolution; Phase Transitions (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100001322

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