Asymptotic behavior of a predator-prey diffusion system with time delays

Date

2005-11-24

Authors

Meng, Yijie
Wang, Yifu

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we study a class of reaction-diffusion systems with time delays, which models the dynamics of predator-prey species. The global asymptotic convergence is established by the upper-lower solutions and iteration method in terms of the rate constants of the reaction function, independent of the time delays and the effect of diffusion.

Description

Keywords

Predator-prey diffusion system, Asymptotic behavior, Time delays, Upper-lower solutions

Citation

Meng, Y., & Wang, Y. (2005). Asymptotic behavior of a predator-prey diffusion system with time delays. <i>Electronic Journal of Differential Equations, 2005</i>(131), pp. 1-11.

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Attribution 4.0 International

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