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Published on: September 27, 2014
Dynamics analysis of a delayed virus model with two different transmission methods and treatments
Tongqian Zhang1, Junling Wang1, Yuqing Li1
11College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, P.R. China.
Abstract:
In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
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