Authors: Muhammad Iqbal, Muhammad Moneeb Tariq, Hafiz Muhammad Ameer

pp. 43 – 55JSA-Vol. 2 (2023),

This paper is devoted for the numerical study of susceptible infected Stifler (SIZ) epidemic model of meme dynamics. This model is solved numerically with three different numerical techniques, Forward Euler, Runge-Kutta Scheme (RK-4) and the proposed Non-Standard Finite difference (NSFD) techniques. The proposed NSFD technique becomes more efficient and reliable numerical technique than forward Euler and RK-4 techniques. NSFD technique retains all essential characteristics of continuous SIZ epidemic model like positivity, stability of equilibria while well-known forward Euler and RK-4 techniques cannot sustain these characteristics. Further- more, the proposed technique is independent of time step size while forward Euler and RK-4 depend on the time step size. The numerical simulations with the aid of a numerical test is presented for the validations of all the traits.