Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy

Yiliang Liu, Peifen Lu and Ivan Szanto

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

Abstract:

We study a fractional differential model of HIV infection of T-cell, in which the T-cell proliferation plays an important role in HIV infection under antiretroviral therapy. An appropriate method is given to ensure that both the equilibria are asymptotically stable for . We calculate the basic reproduction number , the IFE , two IPEs and , and so on, and judge the stability of the equilibrium. In addition, we describe the dynamic behaviors of the fractional HIV model by using the Adams-type predictor-corrector method algorithm. At last, we extend the model to incorporate the term which we consider the loss of virion and a bilinear term during attacking the target cells.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:291614

DOI: 10.1155/2014/291614

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