A discrete predator-prey system with age-structure for predator and natural barriers for prey

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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
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	35 期号:4 页码:675-690
摘要	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.
关键词	age-structure natural barrier subcommunity persistence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000171225300004
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16617
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, S
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/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.