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一类食饵具有S-型变收获的中立型捕食系统的正周期解

Positive Periodic Solutions for a kind of Neutral Predator-prey System with an S-type Variable Harvesting in the Prey Species
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摘要 研究了一类食饵具有S-型变收获率和单调功能反应的中立型捕食系统.通过利用一些新的分析技巧和重合度理论中的延拓定理,获得了其正周期解存在性的充分条件,推广和改进已有文献的相关结果. This paper investigates the existence of positive periodic solutions for a kind of neutral predator-prey system with an S-type variable harvesting in the prey species. By using some new technique of analysis and a continuation theorem based on coincidence degree theory, some new sufficient conditions of positive periodic solutions of the system are estabhshed. The criteria extend and improve some earlier results.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第22期278-285,共8页 Mathematics in Practice and Theory
基金 广西高校科学技术研究项目(2013YB282 2013YB281)
关键词 S-型变收获率 单调功能反应 中立型捕食系统 正周期解 重合度 S-type variable harvesting prey system positive periodic solutions monotonic functional responses neutrai predator- coincidence degree
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