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author:

Chen, FD (Chen, FD.) [1] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, a nonlinear nonautonomous predator-prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed of two patches, has two species: the prey can diffuse between two patches, but the predator is confined to one patch. We first discuss the uniform persistence and global asymptotic stability of the model; after that, by constructing a suitable Lyapunov functional, some sufficient conditions for the existence of a unique almost periodic solution of the system are obtained. An example shows the feasibility of our main results. (c) 2004 Elsevier B.V. All rights reserved.

Keyword:

almost periodic solution continuous distributed delay diffusion globally asymptotic stability nonautonomous nonlinear predator-prey

Community:

  • [ 1 ] Fuzhou Univ, Sch Math & Comp, Fujian 350002, Peoples R China

Reprint 's Address:

  • 陈凤德

    [Chen, FD]Fuzhou Univ, Sch Math & Comp, Fujian 350002, Peoples R China

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Source :

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

ISSN: 0377-0427

Year: 2005

Issue: 1

Volume: 180

Page: 33-49

0 . 5 6 9

JCR@2005

2 . 1 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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