Periodic Solutions of a Time Delay Stage-structured Prey-predator Model
Yanqiu Li, Wei Duan Duan, Shujian Ma
Journal of Advances in Mathematics and Computer Science · pp. 102–111 · Published 17 Dec 2014
10.9734/BJMCS/2015/14857Abstract
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.
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