Effects of competition and predation in a three species model

Janusz Szwabiński; Andrzej Pękalski; Kamil Trojan

Banach Center Publications (2008)

  • Volume: 80, Issue: 1, page 265-269
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Janusz Szwabiński, Andrzej Pękalski, and Kamil Trojan. "Effects of competition and predation in a three species model." Banach Center Publications 80.1 (2008): 265-269. <http://eudml.org/doc/282079>.

@article{JanuszSzwabiński2008,
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.},
author = {Janusz Szwabiński, Andrzej Pękalski, Kamil Trojan},
journal = {Banach Center Publications},
keywords = {predator-prey model; Monte Carlo simulation},
language = {eng},
number = {1},
pages = {265-269},
title = {Effects of competition and predation in a three species model},
url = {http://eudml.org/doc/282079},
volume = {80},
year = {2008},
}

TY - JOUR
AU - Janusz Szwabiński
AU - Andrzej Pękalski
AU - Kamil Trojan
TI - Effects of competition and predation in a three species model
JO - Banach Center Publications
PY - 2008
VL - 80
IS - 1
SP - 265
EP - 269
AB - 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.
LA - eng
KW - predator-prey model; Monte Carlo simulation
UR - http://eudml.org/doc/282079
ER -

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