@Article{cmc.2020.010759,
AUTHOR = {Wasfi Shatanawi, Muhammad Shoaib Arif, Ali Raza, Muhammad Rafiq, Mairaj Bibi, Javeria Nawaz Abbasi},
TITLE = {Structure-Preserving Dynamics of Stochastic Epidemic Model with the Saturated Incidence Rate},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {64},
YEAR = {2020},
NUMBER = {2},
PAGES = {797--811},
URL = {http://www.techscience.com/cmc/v64n2/39330},
ISSN = {1546-2226},
ABSTRACT = {The structure-preserving 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. Unfortunately, the existing 
stochastic approaches in literature do not restore aforesaid structure-preserving features, 
particularly for the stochastic models. Therefore, these gaps should be occupied up in 
literature, by constructing the structure-preserving features preserving numerical 
approach. This writing aims to describe the structure-preserving dynamics of the 
stochastic model. We have analysed the effect of reproduction number in stochastic 
modelling the same as described in the literature for deterministic modelling. The usual 
explicit stochastic numerical approaches are time-dependent. We have developed the 
implicitly driven explicit approach for the stochastic epidemic model. We have proved 
that the newly developed approach is preserving the structural, dynamical properties as 
positivity, boundedness and dynamical consistency. Finally, convergence analysis of a 
newly developed approach and graphically illustration is also presented.},
DOI = {10.32604/cmc.2020.010759}
}