Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis

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• 作者：Wei Wang^a ; ^{wei___wang@163.com" class="auth_mail" title="E-mail the corresponding author} ; Wanbiao Ma^a ; ^{wanbiao_ma@ustb.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiulan Lai^b ; ^{xiulanlai@ruc.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Virus infection dynamic model ; Absorption effect ; Repulsion of superinfecting virions ; Travelling wave solutions ; Chemotaxis ; Turing instability
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：Complete
• 页码：253-283
• 全文大小：2254 K

文摘

A mathematical model for virus infection dynamics with absorption effect and chemotaxis is proposed to study the repulsion effect on superinfecting virions by infected cells. The basic reproduction number c81a0d1043d814c9a20f09efd952" title="Click to view the MathML source">R₀$R_0$ is established. Furthermore, we show that the threshold dynamics can be expressed by the basic reproduction number c81a0d1043d814c9a20f09efd952" title="Click to view the MathML source">R₀$R_0$ in a bounded domain. It is shown that the infection-free steady state E₀$E_0$ is asymptotically stable if R₀<1$R_0<1$, and the virus is uniformly persistent if R₀>1$R_0>1$ in the case of spatially heterogeneous infections. The stability properties and Turing instability of the proposed model have been extensively discussed for the case of spatially homogeneous infections. In addition, the existence of the travelling wave solutions is discussed in unbounded domain. At last, numerical simulations are carried out to illustrate the main results.