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Model of HIV Infection Dynamics with Varying Source Parameters for the Rate of T-Cell Supply Through Using Contionus Galerkin-Petrov Time Discretization Scheme

Author

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  • Adil Khurshaid

    (Department of Mathematics, University of Swabi, Swabi, KP, Pakistan)

Abstract

In this manuscript, a new approach termed as †Continous Galerkin-Petrov†is imple- mented to create a mathematical model after the HIV infection that represents the be- havior of uninfected CD4+ T-cells, infected CD4+ T-cells, and free HIV pathogens. Over- all dynamics of healthy, infected CD4+ T-cells and free HIV pathogens are governed by the stream function for CD4+ T-cells replenishment from the thymocytes. We further looked at the impact of several adjustable parameterization on the stream of new CD4+ T-cells in extensive detail. Secondly, the framework is determined using the Runge Kut- ta technique of fourth order (RK-4 method). Finally, the suggested scheme’s reliability and validity are confirmed by analyzing the graphical and numerical results to the re- sults of RK4-method. The numerical and statistical results were.

Suggested Citation

  • Adil Khurshaid, 2023. "Model of HIV Infection Dynamics with Varying Source Parameters for the Rate of T-Cell Supply Through Using Contionus Galerkin-Petrov Time Discretization Scheme," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 50(1), pages 41291-41304, April.
    • Handle: RePEc:abf:journl:v:50:y:2023:i:1:p:41291-41304
    DOI: 10.26717/BJSTR.2023.50.007901
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