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Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
- Source :
- Disc. Cont. Dyn. Sys. B 21: 1237-1257, 2016
- Publication Year :
- 2015
-
Abstract
- We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host. The model consists of a nonlinear system of three coupled reaction-diffusion equations with parameters that may vary spatially. Upon formulating the model, we prove that it preserves the positivity of initial data and construct global-in-time solutions that are both bounded and smooth. Finally, additional results concerning the local and global asymptotic behavior of these solutions are also provided.<br />Comment: 21 pages
- Subjects :
- Mathematics - Analysis of PDEs
35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40
Subjects
Details
- Database :
- arXiv
- Journal :
- Disc. Cont. Dyn. Sys. B 21: 1237-1257, 2016
- Publication Type :
- Report
- Accession number :
- edsarx.1508.07617
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.3934/dcdsb.2016.21.1237