CHEN Jiangbin.Dynamics of a modified Leslie-Gower predator-prey system withHolling-type III response function and feedback controls[J].Journal of Yanbian University,2017,43(03):189-194.
具反馈控制和Holling-III类功能反应的修正Leslie-Gower捕食系统研究
- Title:
- Dynamics of a modified Leslie-Gower predator-prey system with Holling-type III response function and feedback controls
- 关键词:
- 反馈控制; Holling-III; 修正Leslie-Gower; 全局吸引性
- 分类号:
- O175.14
- 文献标志码:
- A
- 摘要:
- 利用微分方程比较原理和构造适当的Lyapunov函数研究具反馈控制和Holling-III类功能反应的修正Leslie-Gower捕食系统,得到了保证系统永久持续生存和全局吸引的充分性条件,所得的结果补充了文献[6]的工作.
- Abstract:
- A modified Leslie-Gower predator-prey system with Holling-type III response function and feedback controls is investigated by applying the comparison theorem of differential equation and constructing a suitable Lyapunov function, and sufficient conditions for the permanence, global attractivity of the system are obtained. The results supplement the literature [6].
参考文献/References:
[1] Aziz Alaoui M A, Daher Okiye M. Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes[J]. Applied Mathematics Letters, 2003,16(7):1069-1075.
[2] Yu Shengbin. Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes[J]. Discrete Dynamics in Nature and Society, 2012,2012:1-8.
[3] Zhu Yanling, Wang Kai. Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes[J]. Journal of Mathematical Analysis and Applications, 2011,384(2):400-408.
[4] Yu Shengbin. Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response[J]. Advances in Difference Equations, 2014,84:1-14.
[5] Yu Shengbin, Chen Fengde. Almost periodic solution of a modified Leslie-Gower predator-prey model with Holling-type II schemes and mutual interference[J]. International Journal of Biomathematics, 2014,7(3):1-15.
[6] 朱艳玲.具有Leslie-Gower和Holling-III型功能反应的捕食-食饵模型的一致持续生存[J].宁夏师范学院学报,2013,34(3):7-9.
[7] 李忠.具反馈控制修正Leslie-Gower和Holling-II功能性反应捕食系统的持久性和全局吸引性[J].数学的实践与认识,2011,41(7):126-130.
[8] Yu Shengbin. Extinction for a discrete competition system with feedback controls[J]. Advances in Difference Equations, 2017,9:1-9.
[9] Chen Jiangbin, Yu Shengbin. Permanence for a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls[J]. Discrete Dynamics in Nature and Society, 2013,2013:1-6.
[10] Chen Fengde, Li Zhong, Huang Yunjin. Note on the permanence of a competitive system with infinite delay and feedback controls[J]. Nonlinear Analysis: Real World Applications, 2007,8(2):680-687.
[11] Barbalat I. System d'equations differential d'oscillations nonlinearies[J]. Rev Roumaine Math Pure Appl, 1959,4(2):267-270.
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备注/Memo
收稿日期: 2017-07-25 基金项目: 福建省高等学校新世纪优秀人才支持计划项目(2017)
作者简介: 陈江彬(1979—),男,副教授,研究方向为微分方程和生物数学.