Analysis of Time Delay for HIV-1 Infection Model
M. C. Maheswari
Department of Mathematics, V. V. Vanniyaperumal College for Women, Virudhunagar, 626101, India.
K. Krishnan
Department of Mathematics, Cardamom Planters' Association College, Bodinayakanur 625513, India.
P. Krishnapriya *
Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, India.
*Author to whom correspondence should be addressed.
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.
Keywords: HIV-infection model, stability analysis, sensitivity analysis, variational iteration method, adomain decomposition method.