Abstract
In this paper, we introduce fractional-order model of (HTLV-I) infection of CD 4+ T-cells. Homotopy analysis method (HAM) is implemented to give approximate and analytical solutions of the presented problem. The fractional derivatives are described in the Caputo sense. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. Numerical results show that the approach is easy to implement and accurate when applied to ordinary differential equations of fractional order.
Highlights
Human T-cell lymphotropic virus type I (HTLV-I) infection is associated with a variety of human diseases
Human T-cell lymphotropic virus (HTLV) is a member of the exogeneous human retroviruses that have a tropism for T lymphocytes
fractional ordinary differential equations (FODE) are naturally related to systems with memory which exists in most biological systems
Summary
Human T-cell lymphotropic virus type I (HTLV-I) infection is associated with a variety of human diseases. Infection with HTLV-I is a global epidemic, affecting 10 million to 20 million people This virus has been linked to life-threatening, incurable diseases: a) Adult T-cell leukemia (ATL). These syndromes are important causes of mortality and morbidity in the areas where HTLV-I is endemic, mainly in the tropics and subtropics [17]. Infected cells contain the virus, but do not produce DNA and are incapable of contagion. When such cells are stimulated by antigen, they can become active and infect healthy cells.
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