Persistence,extinction and global asymptotical stability of a non-autonomous predator–prey model with random perturbation |
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Authors: | Meng Liu Ke Wang |
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Institution: | Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China |
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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. |
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Keywords: | Non-autonomous predator&ndash prey model Stochastic perturbation Persistence Extinction Global asymptotical stability |
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