Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays

A nonlinear periodic predator–prey model with m-preys and ( n - m ) -predators and delays is proposed in this paper, which can be seen as the modification of the traditional Lotka–Volterra prey–competition model. Sufficient conditions which guarantee the existence of a unique globally attractive pos...

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Veröffentlicht in:	Journal of computational and applied mathematics 2006-10, Vol.194 (2), p.368-387
Hauptverfasser:	Chen, Fengde, Xie, Xiangdong, Shi, Jinlin
Format:	Artikel
Sprache:	eng
Schlagworte:	Biological and medical sciences Exact sciences and technology Fundamental and applied biological sciences. Psychology General aspects Global asymptotic Lyapunov functional Mathematical analysis Mathematics Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects) Ordinary differential equations Periodic solution Prey-competition Sciences and techniques of general use
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Zusammenfassung:	A nonlinear periodic predator–prey model with m-preys and ( n - m ) -predators and delays is proposed in this paper, which can be seen as the modification of the traditional Lotka–Volterra prey–competition model. Sufficient conditions which guarantee the existence of a unique globally attractive positive periodic solution of the system are obtained.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2005.08.005