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Effect Of Inherited Genetic Information On Stochastic Predator-Prey Model

Author

Listed:
  • 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)

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.

Suggested Citation

  • Artur Duda & Paweł Dyś & Alekandra Nowicka & Mirosław R. Dudek, 2000. "Effect Of Inherited Genetic Information On Stochastic Predator-Prey Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(08), pages 1527-1538.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:08:n:s0129183100001322
    DOI: 10.1142/S0129183100001322
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