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具有时滞和Holling-Ⅱ功能反应的捕食系统的持久性和渐近周期解（英文） 被引量：2

Permanence and Asymptotically Periodic Solution of a Delayed Predator-prey System with Holling-type Ⅱ Functional Response
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摘要 本文研究具有时滞和Holling-II功能反应的捕食系统.运用微分不等式理论,得到系统具有持久性的充分条件.通过构造适当的李雅普偌夫函数,我们得到系统具有唯一的全局渐近稳定的周期解.最后给出简单结论. This paper is concerned with a delayed predator-prey system with Holling- type Ⅱ functional response. By using the differential inequality theory, a set of sufficient conditions are obtained for the permanence of the system. By constructing a suitable Liapunov function, we derive that the system has a unique asymptotically periodic solution which is globally asymptotically stable. The paper ends with a brief conclusion.
作者 徐昌进 吴玉森
机构地区 贵州财经大学经济系统仿真重点实验室 河南科技大学数学与统计学院
出处 《应用数学》 CSCD 北大核心 2015年第4期925-932,共8页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11261010,11101126) the Natural Science and Technology Foundalion(J[2015]2025)
关键词 捕食系统 持久性 Holling-II功能反应 渐近周期解 李雅普偌夫函数 Predator-prey system Permanence Holling-type Ⅱ functional response Asymptotically periodic solution Liapunov function
分类号 O175 [理学—基础数学]
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参考文献10

  • 1LI Yongkun, YE Yuan. Multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms[J]. Commun. Nonlinear Sci. Numer. Simul., 2013, 18(11): 3190-320l.
  • 2WANG Linlin, FAN Yonghong. Multiple periodic solutions for a non-autonomous delayed predatorprey model with harvesting terms[J]. Appl. Math. Comput., 2011, 217(23): 9552-956l.
  • 3DAI Binxiang, LI Ying, LUO Zhenguo. Multiple periodic solutions for impulsive Gause-type ratiodependent predator-prey systems with non-monotonic numerical responses[J]. Appl, Math. Comput., 2011, 217(18): 7478-7487.
  • 4YANG Yu, CHEN Wencheng. Uniformly strong persistence of an nonlinear asymptotically periodic multispecies competition predator-prey system with general functional response[J]. Appl. Math. Comput., 2006, 183(1): 423-426.
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应用数学
2015年 第4期

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