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首页> 外文期刊>International journal of mathematics and mathematical sciences >Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment
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Analysis of a Nonautonomous Delayed Predator-Prey System with a Stage Structure for the Predator in a Polluted Environment

机译:具有阶段结构的捕食者非自治时滞捕食系统的污染环境分析。

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A two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed. The scale of the protective zone among the immature predator population can be regulated through diffusive coefficientsDi(t),i=1,2. It is proved that this system is uniformly persistent (permanence) under appropriateconditions. Sufficient conditions are derived to confirm that if this system admits apositive periodic solution, then it is globally asymptotically stable.
机译:提出了两种种群的非自治Lotka-Volterra类型的模型,该模型具有在未保护的捕食者之间的扩散迁移,在成熟的捕食者之间的恒定延迟以及对非保护性贴片中的未成熟捕食者的毒害作​​用。可以通过扩散系数Di(t),i = 1,2来调节未成熟捕食者种群中保护区的规模。证明了该系统在适当的条件下具有统一的持久性。得出足够的条件来确认如果该系统接受正周期解,那么它是全局渐近稳定的。

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