A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy
Volume 6, Issue 5, October 2018, Pages: 312-319
Received: Sep. 16, 2018;
Published: Sep. 18, 2018
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Shuyu Liu, School of Mathematics and Systems Science, Beihang University, Beijing, China
Ya Li, School of Mathematics and Systems Science, Beihang University, Beijing, China
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The traditional functional responses in predator-prey models do not explicitly include the effects of prey toxin. And optimal foraging theory mainly considers maximizing energy intake from prey, while prey toxicity is omitted from the strategy. However, a lot of evidence indicates that prey toxins set an upper limit on the predator's predation, therefore it should also be an important factor deciding predator's foraging preference. Our paper mainly studies a predator-prey model under the interaction of toxicity and optimal foraging strategy. The system contains one predator population and two prey species, while assuming that one prey species contains toxin. It is also assumed that there exists interspecies competition between two preys. Theoretical and numerical analysis both show that toxin-induced functional response and optimal foraging strategy have complex interactions on the dynamics of the system.
Predator-Prey Model, Toxin, Optimal Foraging Strategy, Hopf Bifurcation
To cite this article
A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy, Science Discovery.
Vol. 6, No. 5,
2018, pp. 312-319.