Computational aspects of an epidemic model involving stochastic partial differential equations

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dc.authoridAli, Syed Mansoor/0000-0003-1416-640X
dc.contributor.authorAhmed, Nauman
dc.contributor.authorYasin, Muhammad W.
dc.contributor.authorAli, Syed Mansoor
dc.contributor.authorAkguel, Ali
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorShar, Muhammad Ali
dc.date.accessioned2024-12-24T19:29:40Z
dc.date.available2024-12-24T19:29:40Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis 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 cases of endemic equilibrium and disease-free equilibriums. The results show the efficacy of the proposed stochastic IFD scheme.
dc.description.sponsorshipKing Saud University, Riyadh [RSPD2023R699]
dc.description.sponsorshipThe authors would like to extend their sincere appreciation to the Researcher supporting program at the King Saud University, Riyadh, for funding this work underproject number (RSPD2023R699).
dc.identifier.doi10.1142/S0129183123501462
dc.identifier.issn0129-1831
dc.identifier.issn1793-6586
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85176803655
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0129183123501462
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7196
dc.identifier.volume34
dc.identifier.wosWOS:000985503200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics C
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectStochastic SIR model
dc.subjectproposed stochastic finite difference schemes
dc.subjectanalysis of the schemes
dc.subjectsimulations
dc.titleComputational aspects of an epidemic model involving stochastic partial differential equations
dc.typeArticle

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