Title of article :
Stability and Hopf Bifurcation of a Vector-Borne Disease Model with Saturated Infection Rate and Reinfection
Author/Authors :
Hu, Zhixing School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China , Yin, Shanshan School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China , Wang, Hui School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China
Abstract :
this paper established a delayed vector-borne disease model with saturated infection rate and cure rate. First of all, according to
the basic reproductive number R0, we determined the disease-free equilibrium E0 and the endemic equilibrium E1. through the
analysis of the characteristic equation, we consider the stability of two equilibriums. Furthermore, the effect on the stability of the
endemic equilibrium E1 by delay was studied, the existence of Hopf bifurcations of this system in E1 was analyzed, and the length
of delay to preserve stability was estimated. The direction and stability of the Hopf bifurcation were also been determined. Finally,
we performed some numerical simulation to illustrate our main results.
Keywords :
Hopf , Vector-Borne , Reinfection , Rate
Journal title :
Computational and Mathematical Methods in Medicine
