Dynamics analysis of a delayed virus model with two different transmission methods and treatments-Reference-Cited by-同舟云学术

Dynamics analysis of a delayed virus model with two different transmission methods and treatments

Published:2020-01-06 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Zhang Tongqian,Wang Junling,Li Yuqing,Jiang Zhichao,Han Xiaofeng

Abstract

AbstractIn 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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hebei Province

Hebei province university discipline top talent selection and training program and Talent Training Project of Hebei Province.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-019-2438-0.pdf

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