Periodicity of a Nonautonomous Ratio-Dependent Predator-Prey Systems with Impulses(English)
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摘要: 利用重合度理论中的连续性定理以及先验估计研究了一类具有脉冲的非自治比率依赖型捕食者-食饵系统正周期解的存在性，建立了存在正周期解的充分性判据.Abstract: This paper explored the existence of periodic solutions with strictly positive components and impulses of a nonautonomous ratio-dependent predator-prey system. Sufficient criteria were obtained for the existence of strictly positive periodic solutions. The approach was based on a continuation theorem in the coincidence degree theory as well as some prior estimates.
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