王玲书,徐瑞,冯光辉.一类具有脉冲效应和HollingII型功能性反应的阶段结构的捕食系统[J].数学研究及应用,2011,31(1):147~156 |
一类具有脉冲效应和HollingII型功能性反应的阶段结构的捕食系统 |
A Stage-Structured Predator-Prey System with Impulsive Effect and Holling Type-II Functional Response |
投稿时间:2009-01-23 修订日期:2010-04-26 |
DOI:10.3770/j.issn:1000-341X.2011.01.017 |
中文关键词: 捕食系统 Holling-II型功能性反映 脉冲 灭绝 持续生存. |
英文关键词:predator-prey system Holling type-II functional response impulsive effect extinction permanence. |
基金项目:国家自然科学基金 (Grant Nos.10671209; 10926064). |
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中文摘要: |
研究一类具有脉冲效应和HollingII型功能性反应的阶段结构捕食模型的动力学性质.利用Floquet和小振幅扰动理论,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐近稳定的害虫根除周期解,得到了系统持续生存的的充分条件.数值分析进一步说明了脉冲对系统的动力学性质的影响. |
英文摘要: |
A stage-structured predator-prey system with impulsive effect and Holling type-II functional response is investigated. By the Floquet theory and small amplitude perturbation skills, it is proved that there exists a global stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further, the conditions for the permanence of system are established. Numerical simulations are carried out to illustrate the impulsive effect on the dynamics of the system. |
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