| 具有Monod-Haldane功能反应和脉冲效应的捕食系统的动力学性质 |
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| 引用本文： | 王欣,熊佐亮,邹玲.具有Monod-Haldane功能反应和脉冲效应的捕食系统的动力学性质[J].应用泛函分析学报,2009,11(2):140-146. |
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| 作者姓名： | 王欣 熊佐亮 邹玲 |
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| 作者单位： | 南昌大学数学系,江西,南昌,330031 |
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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．
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| 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 |
Dynamics of a Predator-prey System with Monod-Haldane Function and Impulsive Effect |
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| WANG Xin,XIONG Zuo-liang,ZOU Ling.Dynamics of a Predator-prey System with Monod-Haldane Function and Impulsive Effect[J].Acta Analysis Functionalis Applicata,2009,11(2):140-146. |
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| Authors: | WANG Xin XIONG Zuo-liang ZOU Ling |
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| Institution: | (School of Sciences, Nanchang University, Nanchang 330031, China) |
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| Abstract: | 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. |
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| Keywords: | impulsive effect nonmontotonic function response global asymptotic stable bifurcation erdication permanence |
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