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Computational Aspects of an Epidemic Model Involving Stochastic Partial Differential Equations by Nauman Ahmed; Muhammad W. Yasin; Syed Mansoor Ali; Ali Akgül; Ali Raza; Muhammad Rafiq; Muhammad Ali Shar is a Physics and Astronomy article available to read on EtoBox.

What is Computational Aspects of an Epidemic Model Involving Stochastic Partial Differential Equations about?

This paper deals with the study of the reaction–diffusion epidemic model perturbed with time noise. It has various applications such as disease in population models of humans, wildlife, and many others. The stochastic SIR model is numerically investigated with the proposed stochastic backward Euler scheme and proposed stochastic implicit finite difference (IFD) scheme. The stability of the proposed methods is shown with Von Neumann criteria and both schemes are unconditionally stable. Both schemes are consistent with systems of the equations in the mean square sense. The numerical solution obtained by the proposed stochastic backward Euler scheme and solutions converges towards an equilibrium but it has negative and divergent behavior for some values. The numerical solution gained by the proposed IFD scheme preserves the positivity and also solutions converge towards endemic and disease-free equilibrium. We have used two problems to check our findings. The graphical behavior of the stochastic SIR model is much adjacent to the classical SIR epidemic model when noise strength approaches zero. The three-dimensional plots of the susceptible and infected individuals are drawn for two ca

Who reads Computational Aspects of an Epidemic Model Involving Stochastic Partial Differential Equations?

Author

Nauman Ahmed; Muhammad W. Yasin; Syed Mansoor Ali; Ali Akgül; Ali Raza; Muhammad Rafiq; Muhammad Ali Shar

Publisher

World Scientific Pub Co Pte Ltd

Published

2023

Language

EN

Field

Physics and Astronomy (Physical Sciences)