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 A discrete predator-prey system with age-structure for predator and natural barriers for prey Tang, S; Chen, L 2001-07-01 Source Publication ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE ISSN 0764-583X Volume 35Issue:4Pages:675-690 Abstract We analyze a two species discrete predator-prey model in which the prey disperses between two patches of a heterogeneous environment with barriers and the mature predator disperses between the patches with no barrier. By using the discrete dynamical system generated by a monotone, concave maps for subcommunity of prey, we obtain the subcommunity of prey exists an equilibrium which attracts all positive solutions, and using the stability trichotomy results on the monotone and continuous operator, we obtain some sufficient conditions for the permanence of species. These results are applied to the models with rational growth functions and exponential growth functions. We also present numerical examples to illustrate the dynamic complexity of systems. Keyword age-structure natural barrier subcommunity persistence Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000171225300004 Publisher EDP SCIENCES S A Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/16617 Collection 中国科学院数学与系统科学研究院 Corresponding Author Tang, S Affiliation Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China Recommended CitationGB/T 7714 Tang, S,Chen, L. A discrete predator-prey system with age-structure for predator and natural barriers for prey[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2001,35(4):675-690. APA Tang, S,&Chen, L.(2001).A discrete predator-prey system with age-structure for predator and natural barriers for prey.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,35(4),675-690. MLA Tang, S,et al."A discrete predator-prey system with age-structure for predator and natural barriers for prey".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 35.4(2001):675-690.
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