TY  - EJOU
AU  - Shatanawi, Wasfi 
AU  - Raza, Ali 
AU  - Arif, Muhammad Shoaib 
AU  - Abodayeh, Kamaledin 
AU  - Rafiq, Muhammad 
AU  - Bibi, Mairaj 

TI  - An Effective Numerical Method for the Solution of a Stochastic Coronavirus (2019-nCovid) Pandemic Model
T2  - Computers, Materials \& Continua

PY  - 2021
VL  - 66
IS  - 2
SN  - 1546-2226

AB  - Nonlinear stochastic modeling plays a significant role in disciplines such as psychology, finance, physical sciences, engineering, econometrics, and biological sciences. Dynamical consistency, positivity, and boundedness are fundamental properties of stochastic modeling. A stochastic coronavirus model is studied with techniques of transition probabilities and parametric perturbation. Well-known explicit methods such as Euler Maruyama, stochastic Euler, and stochastic Runge–Kutta are investigated for the stochastic model. Regrettably, the above essential properties are not restored by existing methods. Hence, there is a need to construct essential properties preserving the computational method. The non-standard approach of finite difference is examined to maintain the above basic features of the stochastic model. The comparison of the results of deterministic and stochastic models is also presented. Our proposed efficient computational method well preserves the essential properties of the model. Comparison and convergence analyses of the method are presented.
KW  - Coronavirus pandemic model; stochastic ordinary differential equations; numerical methods; convergence analysis

DO  - 10.32604/cmc.2020.012070