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具有比率依赖型功能性反应的捕食脉冲系统的持久性

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本文基于经典的阶段结构模型和Lotka-Volterra捕食模型,提出和研究了具有比率依赖型功能性反应模式的脉冲非自治两维时滞微分方程的周期性释放天敌在固定时刻对害虫控制的过程.得到了害虫灭绝周期解的全局吸引性和依赖于时滞和脉冲的人口模型持久性的条件.
Permanence of Predator-Prey Impulsive System with Ratio-Dependent Type Functional Response
In this paper,based on the classical stage-structured model and LotkaVolterra predator-prey model,an impulsive nonautonomous two dimensional delayed differential equations with ratio-dependent type functional response to mode the process of periodically releasing natural enemies at fixed times for pest control is proposed and investigated.Conditions are obtained for global attractivity of the "pest-extinction"periodic solution and permanence of the population of the model depend on time delay and impulses.

Predator-prey systemImpulsive differential equationRatio-dependent type functional responsePermanence

杨徐昕、王卫兵、申建华

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湖南第一师范学院数学系,湖南长沙410205

湖南科技大学数学系,湖南湘潭411201

杭州师范大学数学系,浙江杭州310036

捕食系统 脉冲微分方程 比率依赖型功能性反应 持久性

This work is supported by the NNSF of ChinaHunan Provincial Natural Science Foundation of Chinaa Key Project Supported by Scientific Research Fund of Hunan Provincial Education Departmentsupported by Scientific Research Fund of Hunan Provincial Education DepartmentAid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province

1157108814JJ708314A02814C0253

2016

生物数学学报
中国数学会生物数学学会

生物数学学报

ISSN：1001-9626
年,卷(期)：2016.(3)
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