Analysis of stability and Hopf bifurcation for a viral infectious model with delay

作者：Sun, Chengjun^*; Cao, Zhijie; Lin, Yiping

来源：Chaos Solitons & Fractals, 2007, 33(1): 234-245.

DOI：10.1016/j.chaos.2005.12.029

• Explicit formulaes
• Periodic solutions
• Viral infectious models

In this paper, a four-dimensional viral infectious model with delay is considered. The stability of the two equilibria and the existence of Hopf bifurcation are investigated. It is found that there are stability switches and Hopf bifurcations occur when the delay T passes through a sequence of critical values. Using the normal form theory and center manifold argument [Hassard B, Kazarino D, Wan Y. Theory and applications of Hopf bifurcation. Cambridge: Cambridge University Press; 1981], the explicit formulaes which determine the stability, the direction and the period of bifurcating periodic solutions are derived. Numerical simulations are carried out to illustrate the validity of the main results.

• 出版日期2007-7
• 单位三峡大学; 上海交通大学; 昆明理工大学