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Persistence,extinction and global asymptotical stability of a non-autonomous predator–prey model with random perturbation
Authors:Meng Liu  Ke Wang
Institution:Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China
Abstract:A two-species stochastic non-autonomous predator–prey model is investigated. Sufficient criteria for extinction, non-persistence in the mean and weak persistence in the mean are established. The critical value between persistence and extinction is obtained for each species in many cases. It is also shown that the system is globally asymptotically stable under some simple conditions. Some numerical simulations are introduced to illustrate the main results.
Keywords:Non-autonomous predator&ndash  prey model  Stochastic perturbation  Persistence  Extinction  Global asymptotical stability
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