Browsing by Author "Muhammad Umer Shabbir"

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    Numerical modeling of susceptible infected epidemic model of HIV/AIDS disease with delay factor
    (UMT Lahore, 2022) Muhammad Umer Shabbir
    In this academic research, pandemic models of HIV/AIDS have been properly discussed to their relevant core. Therefore, the importance of the awareness creating programs have been invested with regards to their relationship and ultimate impact on outburst of these pandemics. This study is completely concentrated toward findout the fate of proposed research hypothesis, which asserts that introducing the awareness and developing the awareness between people regarding safe practice will tend to encourage people to choose these practices. Henceforward, this improved cognizance will lead to comply with the safe practices and finally, the transferring rate of virus in the population will fall. Analysis of this model has better way displayed that awareness-developing programs appears to be an better approach for controlling the spread of the virus and corresponding casts a positive affect in reduction of spread infection of the infectious population. The delayed factor has been used in this model, which delayed the time period to spread disease from infected person to healthy person. This model has been analyzed with the application of stability theory, which is an important component of the differential equations process. The disease free and endamic equilibrium points have been finded to the help of differential equations. The Basic Reproductive Number (which shows that disease have die out or present) have also calculated through different methods. The Basic Reproductive Number had been calculated through the Next Generation Method. Here, three different deciphering techniques have deployed to solve out this model, namely the Forward Euler, RK-4 and the Non Standard Finite Difference method (NSFD). The NSFD approach appeared to be more reliable than the other two methods, since it demonstrated most accurate and precise outcomes.