带有HollingⅠ类功能反应离散半比率依赖捕食-食饵系统的持久性
The Permanence of a Discrete Semi-Ratio Dependent Predator-Prey System with Holling I Type Functional Response
摘要
研究了一个带有HollingⅠ类功能反应和时间延迟的离散半比率依赖捕食-食饵系统,给出了系统保持持久性的充分条件.
Proposed a discrete semi-ratio type functional response and time delay is the permanence of the system are obtained dependent predator-prey system with Holling I investigated, sufficient conditions which ensure
出处
《数学的实践与认识》
CSCD
北大核心
2013年第12期290-294,共5页
Mathematics in Practice and Theory
基金
黑龙江省教育厅科学技术研究项目(12511610)
关键词
半比率依赖捕食-食饵系统
延迟
离散
semi-ratio dependent predator-prey system
time 'delay
discrete
参考文献16
-
1Chen F D. Permance and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems[J]. Appl Math Comput, 1991, 59: 804-814.
-
2Saito Y, Ma W, Hara T. A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays[J]. J Math Anal Appl, 2001, 256: 162-174.
-
3Fan M, Wang K. Periodic solution of a discrete time nonautonomous ratio-dependent predator-prey system[J]. Math Comput Model, 2002, 35: 951-961.
-
4Dai B X, Zou Z J. Periodic solutions of a discrete-time nonautonomous predator-prey system with the Beddington-DeAngelis functional response[J]. J Appl Math Comput, 2007, 24: 127-139.
-
5Huo H F, Li W T. Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model[J]. Math Comput Model, 2004, 34: 261-269.
-
6Yang X.T. Uniform persistence and periodic solutions for a discrete predator-prey system with delays[J]. J Math Anal Appl, 2006, 316: 161-177.
-
7Fang Y H, Li W T. Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response[J]. J Math Anal Appl, 2004, 299: 357-374.
-
8Fan M, Wang K. Periodic solutions of a discrete time nonautonomous ratio-dependent predator- prey system[J]. Math Comput Model, 2002, 35: 951-961.
-
9Wang Q, Fan M, Wang K. Dynamics of a class of nonautonomous semi-ratio-dependent predator- prey systems with functional responses[J]. J Math Anal Appl, 2003, 278: 443-471.
-
10Arrowsmith D K, Place C M. DynamiCal Systems[M]. Chapman and Hall.