Dynamics Analysis of an Additive Stochastic Predator-Prey Model with Allee Effect
Predators and prey in ecosystems are affected by social life, and the Allee effect fully reflects the interaction between popu-lation size, density, and growth rate. And then, ecosystems are subject to random factors. Therefore, the dynamic behavior of additive stochastic prey-predator model with Allee effect are studied in this paper. By constructing a suitable stochastic Lyapunov function, we obtain sufficient conditions for extinction of the predator species and establish sufficient conditions for the existence of an ergodic sta-tionary distribution of the positive solution to such system. In addition, some numerical simulation results are given.
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