Effects of Toxicants on a Non-Autonomous Predator-Prey Model with Random Perturbation

Abstract:

A new non-autonomous predator-prey model in a polluted environment with stochastic perturbation is considered in this paper. The existence of a global positive solution and stochastically ultimate boundedness are derived. Furthermore, some sufficient and necessary criteria for extinction, non-persistence in the mean, weak persistence in the mean, strong persistence in the mean are obtained. At last, a series of numerical simulations to illustrate our mathematical findings are presented.

• Periodical: Applied Mechanics and Materials (Volume 737)
• Pages: 487-490
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.737.487
• Online since: March 2015
• Authors: Yan Zhang, Kuan Gang Fan, Qing Yun Wang
• Keywords: Non-Autonomous Model, Persistence, Polluted Environment, Stochastic Disturbance

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