Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation
Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation
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DOI：
10.1155/2013/125089
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发表时间：
2013-11
影响因子：
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通讯作者：
Haihong Li;Fuzhong Cong;D. Jiang;Hongtu Hua
中科院分区：
文献类型：
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作者：
Haihong Li;Fuzhong Cong;D. Jiang;Hongtu Hua
研究了一类具有随机扰动的三种群捕食链模型。首先证明了该系统存在唯一正解且其阶矩是有界的。然后，我们推导出系统在时间平均上持续存在的条件。在此基础上，建立了系统概率灭绝的条件。最后，通过数值模拟验证了我们的结论.
We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its th moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.