Analysis of a Delayed Predator-Prey Reaction-Diffusion System with Beddington-DeAngelis Functional Response and Two Stage Structure

Abstract:

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In this paper, we study a delayed predator-prey reaction-diffusion system with Beddington-DeAngelis functional response and two stage structure on prey, an immature and a mature stage. The time delays are the time lengths between the immature’s birth and maturity prey species. Under some simple assumptions, using upper and lower solutions method and a comparison principle we prove that the unique constant positive steady states solution is global asymptotic stability. The results shows that the dynamic behavior of solutions to this model is similar to that of solutions to corresponding model without diffusion.

Info:

Periodical:

Advanced Materials Research (Volumes 204-210)

Edited by:

Helen Zhang, Gang Shen and David Jin

Pages:

2065-2070

DOI:

10.4028/www.scientific.net/AMR.204-210.2065

Citation:

F. W. Zhang et al., "Analysis of a Delayed Predator-Prey Reaction-Diffusion System with Beddington-DeAngelis Functional Response and Two Stage Structure", Advanced Materials Research, Vols. 204-210, pp. 2065-2070, 2011

Online since:

February 2011

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Price:

$35.00

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