Periodic Solutions of a Time Delay Stage-structured Prey-predator Model

Li, Yanqiu and Duan, Wei and Ma, Shujian (2015) Periodic Solutions of a Time Delay Stage-structured Prey-predator Model. British Journal of Mathematics & Computer Science, 6 (2). pp. 102-111. ISSN 22310851

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Abstract

The dynamics of a time delay stage-structured prey-predator model is investigated. Firstly, through the analysis of the eigenvalues, the effect of time delay on the stability of the positive equilibrium and the existence of Hopf bifurcation are obtained. Further, the stability and the direction of Hopf bifurcation periodic solution near the first critical value are given utilizing the normal form method and the center manifold theorem.

Item Type: Article
Subjects: Apsci Archives > Mathematical Science
Depositing User: Unnamed user with email support@apsciarchives.com
Date Deposited: 09 Jun 2023 09:16
Last Modified: 16 Jan 2024 05:01
URI: http://eprints.go2submission.com/id/eprint/1234

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