Comput Math Methods Med - Global stability of HIV infection of CD4+ T cells and macrophages with CTL immune response and distributed delays.

Tópicos

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Resumo

We study the global stability of a human immunodeficiency virus (HIV) infection model with Cytotoxic T Lymphocytes (CTL) immune response. The model describes the interaction of the HIV with two classes of target cells, CD4(+) T cells and macrophages. Two types of distributed time delays are incorporated into the model to describe the time needed for infection of target cell and virus replication. Using the method of Lyapunov functional, we have established that the global stability of the model is determined by two threshold numbers, the basic reproduction number R0 and the immune response reproduction number R0(*). We have proven that, if R0 = 1, then the uninfected steady state is globally asymptotically stable (GAS), if R0* = 1 < R0, then the infected steady state without CTL immune response is GAS, and, if R0* > 1, then the infected steady state with CTL immune response is GAS.

Resumo Limpo

studi global stabil human immunodefici virus hiv infect model cytotox t lymphocyt ctl immun respons model describ interact hiv two class target cell cd t cell macrophag two type distribut time delay incorpor model describ time need infect target cell virus replic use method lyapunov function establish global stabil model determin two threshold number basic reproduct number r immun respons reproduct number r proven r uninfect steadi state global asymptot stabl gas r r infect steadi state without ctl immun respons gas r infect steadi state ctl immun respons gas

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