Numerical modeling of susceptible infected epidemic model of HIV/AIDS disease
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Date
2021-02-04
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UMT Lahore
Abstract
In this academic research study, pandemic models of HIV/AIDS have been thoroughly analyzed to their respective core. Consequently, the significance of the awareness creating programs have been investigated with reference to their association and ultimate impact on outbreak of these pandemics. This study is solely focused toward ascertaining the fate of the proposed research hypothesis, which argues that introducing the awareness and developing the consciousness among people regarding safe practices will tend to encourage people to adopt these practices. Henceforth, this improved cognizance will lead to comply with the safe practices and eventually, the transmission rate of virus within population will portray momentous fall. Analysis of this model has efficaciously exhibited that awareness-developing programs appears to be an apropos approach for controlling the spread of the virus and correspondingly casts an affirmative affect in reduction of infection prevalence of the infectious population. This model has been analyzed with the application of stability theory, which is a noteworthy component of the differential equations process. Here, three different deciphering techniques have been deployed to solve out this model, namely Forward Euler, RK-4 and Proposed Finite Difference (NFSD). The NFSD approach appeared to be more reliable numerical technique than the other two methods since it demonstrated most accurate and precise outcomes. Not confined to aforementioned remarkable distinction, the proposed finite difference technique also possesses all the mandatory features of HIV/AIDS model. including positivity, equilibrium stability and independence of time step size, which is an idiosyncratic limitation of Forward Euler and RK-4 methods.