标题:Dynamics analysis of a delayed virus model with two different transmission methods and treatments
作者:Zhang, Tongqian; Wang, Junling; Li, Yuqing; Jiang, Zhichao; Han, Xiaofeng
作者机构:[Zhang, Tongqian; Wang, Junling; Li, Yuqing; Han, Xiaofeng] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China.; [Jiang, Zh 更多
通讯作者:Han, XF
通讯作者地址:[Han, XF]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China.
来源:ADVANCES IN DIFFERENCE EQUATIONS
出版年:2020
卷:2020
期:1
DOI:10.1186/s13662-019-2438-0
关键词:Cell-to-cell transmission; Delayed virus model; Treatment; Hopf; bifurcation
摘要: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.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077329782&doi=10.1186%2fs13662-019-2438-0&partnerID=40&md5=a16d17feae64ded0a4af752535bff183
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