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具有Monod-Haldane功能反应和脉冲效应的捕食系统的动力学性质 被引量：1

Dynamics of a Predator-prey System with Monod-Haldane Function and Impulsive Effect
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摘要 基于综合害虫防治,对具脉冲效应的Monod-Haldane功能反应的捕食系统进行了分析,根据Floquet乘子理论,获得了害虫灭绝周期解全局渐近稳定与系统持续生存的条件.并讨论了害虫灭绝周期解附近分支出非平凡周期解的问题,且文章利用Matlab软件对害虫灭绝周期解害虫周期爆发现象进行了数值模拟. The predator prey with Impulsive effect and Monod-Haldane function concerning pest management is analyzed. By using Floquet thereto, we obtain the condition that determined global asymptotic stability of pest-erdieation periodic solution and permanence. The question of the nontrivial periodic solution off the round of pest-eradication periodic solution is discussed and the phenomenon of the pest-eradication periodic solution and the periodic outburst of pest are simulated by Matlab.
作者 王欣 熊佐亮 邹玲
机构地区 南昌大学数学系
出处 《应用泛函分析学报》 CSCD 2009年第2期140-146,共7页 Acta Analysis Functionalis Applicata
基金 江西省自然科学基金(0611084)
关键词 脉冲效应 非单调功能反应 全局渐近稳定 分支 灭绝 持续生存 impulsive effect nonmontotonic function response, global asymptotic stable bifurcation erdication permanence
分类号 O175.1 [理学—基础数学]
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参考文献8

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共引文献33

同被引文献11

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应用泛函分析学报
2009年 第2期

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