@Article{cmes.2020.011121,
AUTHOR = {Muhammad Shoaib Arif, Ali Raza, Kamaleldin Abodayeh, Muhammad Rafiq, Mairaj Bibi, Amna Nazeer},
TITLE = {A Numerical Efficient Technique for the Solution of Susceptible Infected Recovered Epidemic Model},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {124},
YEAR = {2020},
NUMBER = {2},
PAGES = {477--491},
URL = {http://www.techscience.com/CMES/v124n2/39533},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.32604/cmes.2020.011121}
}