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arXiv · 1508.07617

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

Stephen Pankavich·Christian Parkinson
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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.

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Stephen Pankavich, Christian Parkinson. 2015-08-30. Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity. https://doi.org/10.3934/dcdsb.2016.21.1237

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