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Stochastic Analysis for the Dynamics of a Poliovirus Epidemic Model

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Date

2023

Authors

Baleanu, Dumitru
Khan, Zafar Ullah
Mohsin, Muhammad
Ahmad, Nauman
Rafiq, Muhammad
Anwar, Pervez

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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.

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Analysis, Differential Equations, Methods, Poliovirus Model

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Citation

Raza, Ali;...et.al. (2023). "Stochastic Analysis for the Dynamics of a Poliovirus Epidemic Model", CMES - Computer Modeling in Engineering and Sciences, Vol.136, No.1, pp.257-275.

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CMES - Computer Modeling in Engineering and Sciences

Volume

136

Issue

1

Start Page

257

End Page

275