Numerical solution for linear fuzzy differential equation in HIV infection

Normah Maan, Muhammad Badrul Ramle

Abstract


This study discusses a fuzzy mathematical model of human immunodeficiency virus (HIV) infection consist a linear fuzzy differential system. The system describes the uncertain immune cell level and the viral load for different immune system’s strength of HIV-infected patients. The immune system consists of the cluster of differentiation 4 (CD4+ T) and cytotoxic T-lymphocyte (CD8+ T) cell. The dynamic behavior of the immune system and the viral load of the different group of patients which weak, moderate and strong immune strength are analyse and compared. The numerical solution of the system is obtained by Runge-Kutta fourth order method. Simulation results show that the fuzzy differential system can describe the uncertainty immune cell level and HIV viral loads which due to the existing patients with different strength of the immune system.


Keywords


Numerical Solution, Fuzzy Differential Equation, Runge-Kutta Fourth-Order Method.

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References


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