TY - EJOU AU - Arif, Muhammad Shoaib AU - Raza, Ali AU - Abodayeh, Kamaleldin AU - Rafiq, Muhammad AU - Bibi, Mairaj AU - Nazeer, Amna TI - A Numerical Efficient Technique for the Solution of Susceptible Infected Recovered Epidemic Model T2 - Computer Modeling in Engineering \& Sciences PY - 2020 VL - 124 IS - 2 SN - 1526-1506 AB - The essential features of the nonlinear stochastic models are positivity, dynamical consistency and boundedness. These features have a significant role in different fields of computational biology and many more. The aim of our paper, to achieve the comparison analysis of the stochastic susceptible, infected recovered epidemic model. The stochastic modelling is a realistic way to study the dynamics of compartmental modelling as compared to deterministic modelling. The effect of reproduction number has also observed in the stochastic susceptible, infected recovered epidemic model. For comparison analysis, we developed some explicit stochastic techniques, but they are the time-dependent techniques. The implicitly driven explicit technique has developed for the stochastic susceptible, infected recovered epidemic model. In the support, some theorems and graphical illustration has presented. Also, the time efficiency of this method makes it easy to find the solution of the stochastic system. The comparison with other techniques shows the efficacy and reliability of the designed technique. KW - Epidemiolocal model; stochastic differential equations; stochastic techniques; convergence analysis DO - 10.32604/cmes.2020.011121