Author/Authors :
Bi, Ping Department of Mathematics - Shanghai Key Laboratory of PMMP - East China Normal University - Shanghai, China , Liu, Zijian Chongqing Jiaotong University - Chongqing, China , Muthoni, Mutei Damaris Department of Mathematics - Shanghai Key Laboratory of PMMP - East China Normal University - Shanghai, China , Pang, Jianhua School of Science - Guangxi University of Science and Technology - Liuzhou, China
Abstract :
This paper aims at studying the model proposed by Kuznetsov and Taylor in 1994. Inspired by Mayer et al., time delay is introduced
in the general model. The dynamic behaviors of this model are studied, which include the existence and stability of the equilibria
and Hopf bifurcation of the model with discrete delays. The properties of the bifurcated periodic solutions are studied by using the
normal form on the center manifold. Numerical examples and simulations are given to illustrate the bifurcation analysis and the
obtained results.
