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- W2000361778 abstract "We consider the basic model of virus dynamics in the modeling of Human Immunodeficiency Virus (HIV), in a 2D heterogenous environment. It consists of two ODEs for the non-infected and infected $CD_4^+$ $T$ lymphocytes, $T$ and $I$, and a parabolic PDE for the virus $V$. We define a new parameter $lambda_0$ as an eigenvalue of some Sturm-Liouville problem, which takes the heterogenous reproductive ratio into account. For $lambda_0 0$, the former becomes unstable whereas there is only one positive infected equilibrium. Considering the model as a dynamical system, we prove the existence of a universal attractor. Finally, in the case of an alternating structure of viral sources, we define a homogenized limiting environment. The latter justifies the classical approach via ODE systems." @default.
- W2000361778 created "2016-06-24" @default.
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- W2000361778 date "2009-05-12" @default.
- W2000361778 modified "2023-09-23" @default.
- W2000361778 title "HETEROGENEOUS VIRAL ENVIRONMENT IN A HIV SPATIAL MODEL" @default.
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