4.7 Article

Permanence and global attractivity of delay diffusive prey-predator systems with the Michaelis-Menten functional response

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 49, Issue 2-3, Pages 407-416

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2003.10.010

Keywords

delay; diffusion; functional response; ultimately-bounded domain; permanence; global attractivity

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In this paper, the author investigates two-species nonautonomous delay diffusive preypredator models with Michaelis-Menten functional response. Sufficient conditions axe derived for permanence of the species. Further, the author also establishs the sufficient conditions that guarantee the arbitrary positive periodic solution of the systems is global attractive. (c) 2005 Elsevier Ltd. All rights reserved.

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