期刊
APPLIED MATHEMATICAL MODELLING
卷 36, 期 11, 页码 5344-5353出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.12.057
关键词
Non-autonomous predator-prey model; Stochastic perturbation; Persistence; Extinction; Global asymptotical stability
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. (C) 2011 Elsevier Inc. All rights reserved.
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