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- W2525330597 abstract "The well-known three-compartment model which describes the spatially homogeneous dynamics of HIV in-vivo is adapted to account for spatial heterogeneity by considering diffusion of populations and spatially varying parameters. The new system of nonlinear parabolic PDEs is analyzed in detail. Specifically, local and global existence, uniqueness and high-order regularity of solutions is proven. We also determine the global asymptotic behavior of the model in certain biologically relevant regimes and compare our findings with the analogous results for the spatially homogeneous model. In doing so, we diss existence and stability of viral extinction and viral persistence steady states in different cases. Finally, the system is simulated using a semi-implicit finite difference method with the goal of verifying the analysiscus." @default.
- W2525330597 created "2016-10-07" @default.
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- W2525330597 date "2015-01-01" @default.
- W2525330597 modified "2023-10-08" @default.
- W2525330597 title "In-host modeling of the spatial dynamics of HIV" @default.
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- W2525330597 hasPublicationYear "2015" @default.
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