Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

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.

21 pages

References in corpus (2)

• Turing patterns from dynamics of early HIV infection over a two-dimensional surface
• A Short Proof of Increased Parabolic Regularity

Cited by in corpus (2)

• On a Vector-host Epidemic Model with Spatial Structure
• An in-host model of HIV incorporating latent infection and viral mutation