Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay

Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay

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We propose a mathematical model based on a set of delay differential equations that describe intracellular HIV infection.The model includes three different subpopulations of cells and the HIV virus.The mathematical model is formulated in such a way that takes into account the time between Lacrosse Goalie Pants viral entry into a target cell and the production of new virions.

We study the local stability of the infection-free and endemic equilibrium states.Moreover, by using a suitable Lyapunov functional and the LaSalle invariant principle, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable.In addition, we designed a non-standard difference scheme that preserves some Creator T-Shirt relevant properties of the continuous mathematical model.