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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 PublicationESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN0764-583X
Volume35Issue:4Pages:675-690
AbstractWe 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.
Keywordage-structure natural barrier subcommunity persistence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000171225300004
PublisherEDP SCIENCES S A
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16617
Collection中国科学院数学与系统科学研究院
Corresponding AuthorTang, S
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
Recommended Citation
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.
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