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首页> 外文期刊>Journal of Applied Mathematics and Computing >On the dynamics of a stochastic ratio-dependent predator-prey model with a specific functional response
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On the dynamics of a stochastic ratio-dependent predator-prey model with a specific functional response

机译:具有特定功能响应的比率依赖的捕食者-捕食者模型的动力学

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摘要

In this paper, a new stochastic two-species predator-prey model which is ratio-dependent and a specific functional response is considered in,is proposed. The existence of a global positive solution to the model for any positive initial value is shown. Stochastically ultimate boundedness and uniform continuity are derived. Moreover, under some sufficient conditions, the stochastic permanence and extinction are established for the model. At last, numerical simulations are carried out to support our results.
机译:提出了一种新型的比率依赖的随机两种种群捕食-被捕食模型,并考虑了特定的功能性反应。显示了对于任何正初始值,模型都存在全局正解的情况。随机地得出极限有界性和均匀连续性。此外,在一定条件下,建立了该模型的随机持久性和灭绝性。最后,进行了数值模拟以支持我们的结果。

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