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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
【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.
【Abstract】 This paper investigates the existence of positive periodic solutions for a kind of neutral predator-prey system with an 5-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 established.The criteria extend and improve some earlier results.
【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;
【Key words】 S-type variable harvesting; monotonic functional responses; neutral predatorprey system; positive periodic solutions; coincidence degree;
【Key words】 S-type variable harvesting; monotonic functional responses; neutral predatorprey system; positive periodic solutions; coincidence degree;
【基金】 广西高校科学技术研究项目(2013YB282;2013YB281)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2013年22期
- 【分类号】O175
- 【下载频次】30