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Research Article Open access CC BY 4.0

Analysis of Time Delay for HIV-1 Infection Model

M. C. Maheswari, K. Krishnan, P. Krishnapriya

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 20 Apr 2016

10.9734/BJMCS/2016/25238

Abstract

A class of more general HIV infection models with time delay is proposed based on some important biological meanings. The e ect of time delay on stability of the equilibria of the infection model has been studied. Sensitivity analysis is performed on a delay differential equation model for HIV- 1 infection model that suggests the parameter value has a major impact on the model dynamics. In this paper, the variational iteration method is applied to DDE model for HIV-1 infection model with two discrete delays. Using VIM, it is possible to nd the exact solution or an approximate solution of the proposed problem. This technique provides a sequence of functions which converges to the exact solution of the problem. We also compare the performance of the method with that of a particular Adomain decomposition method. These results reveal that the proposed method is very eff ective and simple to perform.

HIV-infection model stability analysis sensitivity analysis variational iteration method adomain decomposition method.

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