Applied Mathematics and Nonlinear Sciences (Mar 2020)

System Analysis of HIV Infection Model with CD4+T under Non-Singular Kernel Derivative

  • Evirgen Fırat,
  • Uçar Sümeyra,
  • Özdemir Necati

DOI
https://doi.org/10.2478/amns.2020.1.00013
Journal volume & issue
Vol. 5, no. 1
pp. 139 – 146

Abstract

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Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of CD4+T cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.

Keywords