Mathematical Modeling of CTLs Dynamics in HIV Antiretro Viral Therapy Interms of Lotka-Volterra Model
DOI:
https://doi.org/10.9734/bpi/strufp/v11/1669Keywords:
Antiretroviral therapy, species, parameters, prey and predator, intrinsic growth, self-interaction, Painleve property, resonance, analogy, stimulation, oscillation, deterministic, proliferation, interleukin-7Abstract
The CTLs dynamics associated with antiretroviral therapy for HIV infection is mathematically modeled as Lotka-Volteterra two species food chain model. Using Painleve property analysis confirmed the stable deterministic nonlinear oscillation dynamics of CTLs. The analogy of Lotka-Volterra system and LCR electrical network system is used to confirm the stability of CTLs oscillation dynamics and found mathematical expression for the radial frequency of that oscillation and its depends on proliferation rate of CD4+T cells. Results are compared with earlier studies. It is found that Antiretroviral therapy with a combination drugs and IL-7 has very little chance of stopping the oscillation of CTL dynamics due to very high nonlinear stability of the dynamics.
