Year: 2015
Author: Juan Liu, Zizhen Zhang
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 298–310
Abstract
In this paper, a predator-prey system with two discrete delays and stage structure for both the predator and the prey is investigated. The dynamical behaviors such as local stability and local Hopf bifurcation are analyzed by regarding the possible combinations of the two delays as bifurcating parameter. Some explicit formulae determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form method and the center manifold theory. Finally, numerical simulations are presented to support the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.04.02
Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 298–310
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: time delay stage-structure Hopf bifurcation stability periodic solution.