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author:

Chen, Fengde (Chen, Fengde.) [1]

Indexed by:

EI

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. © 2004 Elsevier B.V. All rights reserved.

Keyword:

Asymptotic stability Convergence of numerical methods Differential equations Lyapunov methods Mathematical models

Community:

  • [ 1 ] [Chen, Fengde]School of Mathematics and Computer, Fuzhou University, Fuzhou, Fujian 350002, China

Reprint 's Address:

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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

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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