@Article{cmes.2023.023231,
AUTHOR = {Ali Raza, Dumitru Baleanu, Zafar Ullah Khan, Muhammad Mohsin, Nauman Ahmed, Muhammad Rafiq, Pervez Anwar},
TITLE = {Stochastic Analysis for the Dynamics of a Poliovirus Epidemic Model},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {136},
YEAR = {2023},
NUMBER = {1},
PAGES = {257--275},
URL = {http://www.techscience.com/CMES/v136n1/51220},
ISSN = {1526-1506},
ABSTRACT = {Most developing countries such as Afghanistan, Pakistan, India, Bangladesh, and many more are still fighting
against poliovirus. According to the World Health Organization, approximately eighteen million people have
been infected with poliovirus in the last two decades. In Asia, still, some countries are suffering from the virus.
The stochastic behavior of the poliovirus through the transition probabilities and non-parametric perturbation
with fundamental properties are studied. Some basic properties of the deterministic model are studied, equilibria,
local stability around the stead states, and reproduction number. Euler Maruyama, stochastic Euler, and stochastic
Runge-Kutta study the behavior of complex stochastic differential equations. The main target of this study is to
develop a nonstandard computational method that restores dynamical features like positivity, boundedness, and
dynamical consistency. Unfortunately, the existing methods failed to fix the actual behavior of the disease. The
comparison of the proposed approach with existing methods is investigated.},
DOI = {10.32604/cmes.2023.023231}
}