Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion
Joint Authors
Tang, Xiaosong
Wang, Zhiwei
Yang, Jianping
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-09
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this paper, we investigate single-strain and multistrain viral infection models with general incidence function and density-dependent diffusion subject to the homogeneous Neumann boundary conditions.
For the single-strain viral infection model, by using the linearization method and constructing appropriate Lyapunov functionals, we obtain that the global threshold dynamics of the model is determined by the reproductive numbers for viral infection ℛ0.
For the multistrain viral infection model, we have discussed the competitive exclusion problem.
If the reproduction number ℛi for strain i is maximal and larger than one, the steady state Ei corresponding to the strain i is globally stable.
Thus, competitive exclusion happens and all other strains die out except strain i.
Meanwhile, we can prove that the single-strain and multistrain viral infection models are well posed.
Furthermore, numerical simulations are also carried out to illustrate the theoretical results, which is seldom seen in the relevant known literatures.
American Psychological Association (APA)
Tang, Xiaosong& Wang, Zhiwei& Yang, Jianping. 2020. Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion. Complexity،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1142138
Modern Language Association (MLA)
Tang, Xiaosong…[et al.]. Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion. Complexity No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1142138
American Medical Association (AMA)
Tang, Xiaosong& Wang, Zhiwei& Yang, Jianping. Threshold Dynamics and Competitive Exclusion in a Virus Infection Model with General Incidence Function and Density-Dependent Diffusion. Complexity. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1142138
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142138