Simulating Allergic Rhinitis Infections in Adults with HIV/AIDS Using Runge-Kutta Fourth Order Method in SIR Model

V. M. Bulinda *

Department of Mathematics and Actuarial Science, Kisii University, Kenya.

*Author to whom correspondence should be addressed.


Abstract

Simulating Allergic Rhinitis infections in Adults with HIV/AIDS using Runge-Kutta Fourth Order (RK4) Method in SIR Model is considered. Allergic rhinitis patients living with HIV/AIDS disease in adults is regarded as the target population.  This condition is modeled through an SIR model with solutions solved using the RK4. The applied parameters and initial conditions in numerical simulations are carried out in this study in the literature. Application of the Runge-Kutta solutions provides the behaviour and visualization of the spread of allergic rhinitis infection for the patients living with HIV/AIDS disease in adults. The results suggest that after a given number of days, most of the population under investigation becomes infected with allergic rhinitis, which displaces the virus. Results are computed and analyzed using MATLAB computer software.

Keywords: Allergic rhinitis with HIV/AIDS, Sir model, fourth-order runge-kutta method


How to Cite

Bulinda, V. M. 2024. “Simulating Allergic Rhinitis Infections in Adults With HIV AIDS Using Runge-Kutta Fourth Order Method in SIR Model”. Journal of Advances in Mathematics and Computer Science 39 (3):43-53. https://doi.org/10.9734/jamcs/2024/v39i31875.

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