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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-18,
author = {Janusz Szwabi\'nski and Andrzej P\k ekalski and Kamil Trojan},
title = {Effects of competition and predation in a three species model},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {265-269},
zbl = {1138.92377},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-18}
}
Janusz Szwabiński; Andrzej Pękalski; Kamil Trojan. Effects of competition and predation in a three species model. Banach Center Publications, Tome 83 (2008) pp. 265-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-18/