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Titolo:
A discrete predator-prey system with age-structure for predator and natural barriers for prey
Autore:
Tang, S; Chen, L;
Indirizzi:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, PeoplesR China Chinese Acad Sci Beijing Peoples R China 100080 g 100080, PeoplesR China
Titolo Testata:
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
fascicolo: 4, volume: 35, anno: 2001,
pagine: 675 - 690
SICI:
0764-583X(200107/08)35:4<675:ADPSWA>2.0.ZU;2-7
Fonte:
ISI
Lingua:
ENG
Soggetto:
DIFFERENCE-EQUATIONS; COOPERATIVE SYSTEMS; GLOBAL STABILITY; DYNAMICS; DISPERSAL; MODELS;
Keywords:
age-structure; natural barrier; subcommunity; persistence;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Tang, S Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080,PeoplesR China Chinese Acad Sci Beijing Peoples R China 100080 , PeoplesR China
Citazione:
S. Tang e L. Chen, "A discrete predator-prey system with age-structure for predator and natural barriers for prey", ESAIM-M MOD, 35(4), 2001, pp. 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.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/04/20 alle ore 09:05:45