Dynamic Behavior of a Predator-prey Model under the Influence of Toxin and Optimal Foraging Strategy

摘要

Prey toxicity and coexistence of multiple prey species are properties that exist wildly in predator-prey systems. Prey toxins might inhibit the food intake and maturity of predators. Optimal foraging theory predicts that predators prefer prey which can provide more energy and cost less energy to handling food. In this project, a three-dimensional model consisting of one predator and two prey species is constructed. This model incorporates explicitly the effects of both prey toxins and the optimal foraging theory. The dynamical behaviors of the model are analyzed and the results show that prey toxins and optimal foraging strategy play important roles in the stability of the system.