Modeling and complexity in dynamics of T-cells and cytokines in dengue fever based on antiviral treatment

Abstract

Dengue fever is one of the most common vector-borne diseases spreading in tropical and subtropical regions of the world. It is commonly known as break-bone fever which has illness caused by dengue virus Aedes aegypti and Aedes albopictus mosquitoes. This paper presents a mathematical model for the dynamics of T-cells and cytokines in dengue infection based on antiviral treatment. We have classified the cell population into susceptible cell, infected cells, virus particles, T-cells and cytokines. Cytokines- a group of proteins play a very crucial role in elimination of dengue infection. We have considered death of cytokines during virus encounter. In earlier studies, only natural death rate of cytokines is considered. The stability analysis of the equilibrium points is discussed. If the reproduction number (R0) is less than 1, the endemic equilibrium point is stable and virus infection die out from the system and if reproduction umber is greater than 1, the endemic equilibrium point is unstable and virus infection persist in the system We also derived various key parameters which are responsible for extinction of virus from body. Numerical simulation has also been carried out to assess the effects of various key parameters on population.