✦ LIBER ✦

Global convergence of a reaction–diffusion predator–prey model with stage structure and nonlocal delays

✍ Scribed by Rui Xu; M.A.J. Chaplain; F.A. Davidson

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 989 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.02.002

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✦ Synopsis

In this paper, a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the prey and nonlocal delays due to gestation of the predator is investigated. In the case of a general domain, sufficient conditions are obtained for the global convergence of positive solutions of the proposed problem by using the energy function method. Numerical simulations are carried out to illustrate the main results.

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