一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)

陈跃良; 滕志东

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一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)

数理科学 | 更新时间：2026-01-21

- 一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)
- 一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)
- 新疆大学学报（自然科学版中英文） 2012年29卷第1期页码：23-31
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  Supported by The National Science Foundation of China(10961022)
- DOI：
  中图分类号： O175
- 纸质出版：2012
- 稿件说明：
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[1]陈跃良,滕志东.一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)[J].新疆大学学报(自然科学版),2012,29(01):23-31.

陈跃良, 滕志东. 一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(1): 23-31.
[1]陈跃良,滕志东.一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)[J].新疆大学学报(自然科学版),2012,29(01):23-31. DOI：

陈跃良, 滕志东. 一类两斑块之间脉冲扩散的捕食-被捕食模型的研究(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(1): 23-31. DOI：

摘要

研究了一类两斑块间脉冲扩散的捕食-被捕食模型

利用比较定理

得到捕食者灭绝的解的全局吸引的充分条件以及脉冲扩散捕食-被捕食系统持久性的充分条件.

Abstract

In this paper

we investigate a predator-prey system with impulsive diffusion between two patches.Using a comparison theorem

we obtain the globally attractive condition of predator-extinction periodic solution of the system and the permanence of a predator-prey system with impulsive diffusion.

关键词

Keywords

references

Zhang Z,Wang Z.Periodic solution for a two-species nonautonomous competion Lotka-Volterra patch system with time delay[J].J Math AnalAppl,2002,265:38-48.

Teng Z,Lu Z.The effect of dispersal on single-species nonautonomous dispersal models with delays[J].J Math Biol,2001,42:439-454.

Wang W,Chen L.Global stability of a papulation dispersal in a two-patch enviroment[J].Dynam Sys Appl,1997 6:207-216.

kuang Y,Takeuchi Y.Preydator-prey dynamics in models of prey dispersal in two-patch enviroments[J].Math Biosic,1994,120:77-98.

Beretta E,Takeuchi Y.Global stability of single-species diffusion Volterra models with continuous time delays[J].Bull Math Biol,1987,49:431-448.

Freedman H,Takeuchi Y.Global stability and Predator dynamics in a model of prey dispersal in a patchy enviroment[J].Nonlinear Anal,1989,13:993-1002.

Beretta E,Solimano F,Takeuchi Y.Global stability and periodic orbits for two patch predator-prey diffusion delay models[J].Math Biosic,1987,85:153-183.

Yu B.Dynamoc behavior of a plant-wrack model with spatial diffusion[J].Commun Nonlinear Sci Numer Simul,2010,15:2201-2205.

Vitanov N,Jordanov I,Dimitrova Z.On nonlinear dynamics of interacting populations:coupled kink waves in a system of two populations[J].Commun Nonlinear Sci Numer Scimul,2009,14:2379-4388.

Zhang X,Xu R.Global stability and reavelling waves of a predator-prey model with diffusion and nonlocal maturation delay[J].CommunNonlinear Sci Numer Simul,2010,15:3390-3401.

Mahbuba R,Chen L.On the nonautonomous Lotka-Volterra system with diffusion[J].Differ Equat Dyn Syst,1994,2:243-253.

Lu Z,Takeuchi Y.Permanence and global stability for cooperative Lotka-Volterra diffusion system[J].Nonlinear Anal,1992,10:963-975.

Freedman H,Rai B,Waltman P.Mathematical models of population interactions with dispersal II:Differential survival in a change of habitat[J].J Math Anal Appl,1986,115:140-154.

Beretta E,Takeuchi Y.Global asymptotic stability of Lotka-volterra diffusion models with continuous time delays[J].SIAM J Appl Math,1998,48:627-675.

Hastings A.Dynamics of a single species in a spatially varying enviroment:the stability role of high dispersal rates[J].J Math Biol,1982,16:49-55.

Hanski I.single-species metapopulation dynamics:concepts models and obserbations[J].Biol J Linnean Soc,1991,42:17-38.

Freedman H.Single species migration in two habitats:persistence and extingction[J].Math Model,1987,8:778-780.

Liu Z,Zhong S.Permanence and extinction analysis for a dealyed periodic predator-prey system with Holling type II response functiondiffusion[J].Appl Math Comput,2010,216:3002-3015.

Zhang L,Teng Z.Boundedness and permanence in a class of periodic time-dependent predator-prey system with prey dispersal and predatordensity-independence[J].Chaos Solit Fract,2008,36:729-739.

Cui J,Takeuchi Y,Lin Z.Permanence and extinction for dispersal population systems[J].J Math Appl,2004,298:73-93.

Biainov D,Simeonov P.Impulsive differential equations:periodic solution and applications[M].London:Longman,1993.

Lakshmikantham V,Bainov D,Simeonov P.Theory of impulsive differential equations[M].Singapore:World Scientific,1989.

Liu Z,Wang L.Impulsive diffusion in single species model[J].Chaos Solit Fract,2007,33:1213-1219.

Song X,Li Y.Dynamic behavior of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsiveeffect[J].Nonlinear Anal RWA,2008,9:64-79.

Wang T,Chen L,Zhang P.Extinction and permanence of two-nutrient and two-microorganism chemostat model with pulsed input[J].CommunNonlinear Sci Numer Simul,2010,15:3035-3045.

Shi R,Chen L.An impulsive predator-prey model with disease in the prey for integrated pest management[J].Commun Nonlinear Sci NumerSimul,2010,15:421-429.

Chen Y,Liu Z,Haque M.Analysis of a Leslie-Grower-type prey-predator model with periodic impulsive pertuibations[J].Commun NonlinearSci Numer Simul,2009,14:3412-3423.

Vitanov N,Jordanov I,Dimitrova Z.On nonlinear population waves[J].Appl Math Comput,2009,215:2950-2964.

Gyllenberg M,Soederbacka G,Ericsson S.Does migration stabilize local population dynamics analysis of a discrete metapopulation model[J].Math Biosci,1993,118:25-49.

Liu P.An analysis of a predator-prey model with both diffusion and migration[J].Math Comput Model,2010,51:1064-1070.

Bainov D D,Someonov P S.System with Impulsive Effect:Stability,Theory and Applications[M].New York:John Wiley and Sons,1989.

Wang L M,Chen L S.Impulsive diffusion in single species model[J].Chaos Solitons Fractals,2007,33:1213-1219.

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