Research ArticlesNo Access

Bifurcation analysis in a predator–prey model for the effect of delay in prey

Qiubao Wang

Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China

https://doi.org/10.1142/S1793524516500613Cited by:1 (Source: Crossref)

Abstract

In this paper, we study dynamics in a predator–prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurcation. By using center manifold reduction methods, we obtain the equivalent normal forms near a double Hopf critical point in this system. Moreover, bifurcations are classified in a two-dimensional parameter space near the critical point. Numerical simulations are presented to demonstrate the applicability of the theoretical results.

Keywords:

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