Effects of competition and predation in a three species model

Volume 80 / 2008

Janusz Szwabiński, Andrzej P/ekalski, Kamil Trojan Banach Center Publications 80 (2008), 265-269 MSC: Primary 92D25. DOI: 10.4064/bc80-0-18

Abstract

A model which consists of a predator and two prey species is presented. The prey compete for the same limited resource (food). The predator preys on both prey species but with different severity. We show that the coexistence of all three species is possible in a mean-field approach, whereas from Monte Carlo simulation it follows that the stochastic fluctuations drive one of the prey populations into extinction.

Authors

  • Janusz SzwabińskiInstitute of Theoretical Physics
    University of Wroc/law
    M. Borna 9
    50-204 Wroc/law, Poland
    e-mail
  • Andrzej P/ekalskiInstitute of Theoretical Physics
    University of Wroc/law
    M. Borna 9
    50-204 Wroc/law, Poland
    e-mail
  • Kamil TrojanInstitute of Theoretical Physics
    University of Wroc/law
    M. Borna 9
    50-204 Wroc/law, Poland
    e-mail

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