A Method of Directly Defining the inverse Mapping for a HIV infection of CD4+ T-cells model

• Autores: Mangalagama Dewasurendra, Ying Zhang, Noah Boyette, Ifte Islam, Kuppalapalle Vajravelu
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 6, Nº. 2, 2021, págs. 469-482
• Idioma: inglés
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• Resumen

  • In 2015, Shijun Liao introduced a new method of directly defining the inverse mapping (MDDiM) to approximate analytically a nonlinear differential equation. This method, based on the Homotopy Analysis Method (HAM) was proposed to reduce the time it takes in solving a nonlinear equation. Very recently, Dewasurendra, Baxter and Vajravelu (Applied Mathematics and Computation 339 (2018) 758–767) extended the method to a system of two nonlinear differential equations. In this paper, we extend it further to obtain the solution to a system of three nonlinear differential equations describing the HIV infection of CD4+ T-cells. In addition, we analyzed the advantages of MDDiM over HAM, in obtaining the numerical results. From these results, we noticed that the infected CD4+ T-cell density increases with the number of virions N; but decreases with the blanket death rate