Stability and Hopf bifurcation of a within-host chikungunya virus infection model with two delays

摘要

In this paper, a within-host chikungunya virus infection model with two delays is considered. The basic reproductive number Rq is formulated. If R_0 ＜ 1, the virus-free equilibrium is globally asymptotically stable and the disease always dies out. If R_0 ＞ 1, the global stability of the unique endemic equilibrium E_1 is proved for the case without the time delay of antigenic stimulation, which can change the stability of E_1 and lead to the existence of Hopf bifurcation. Furthermore, explicit formulae for determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are established. Finally, some numerical simulations are presented to illustrate the results.