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Effects of combined drug therapy on HIV-1 infection dynamics

Deepmala Kamboj

MLN College, Yamuna Nagar, Haryana, India

E-mail Address: deepmala_kamboj@rediffmail.com

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and

M. D. Sharma

Department of Mathematics, Kurukshetra University, India

E-mail Address: mohan_here@rediffmail.com

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https://doi.org/10.1142/S1793524516500650Cited by:7 (Source: Crossref)

Abstract

Infection of human immunodeficiency virus (HIV) is determined through the decay of healthy CD4+ T-cells in a well-mixed compartment, such as a bloodstream. A mathematical model is considered to illustrate the effects of combined drug therapy, i.e. reverse transcription plus protease inhibitor, on viral growth and T-cell population dynamics. This model is used to explain the existence and stability of infected and uninfected steady states in HIV growth. An analytical technique, called variational iteration method (VIM), is used to solve the mathematical model. This method is modified to obtain the rapidly convergent successive approximations of the exact solution. These approximations are obtained without any restrictions or the transformations that may change the physical behavior of the problem. Numerical simulations are computed and exhibited to illustrate the effects of proposed drug therapy on the growth or decay of infection.

Keywords:

AMSC: 92D25, 92B05, 34D20, 34D23, 37MXX

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