Numerical modeling of reaction-diffusion e-epidemic dynamics

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dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorAshfaq, Syed Muhammad Hamza
dc.contributor.authorAhmed, Nauman
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:29:39Z
dc.date.available2024-12-24T19:29:39Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe objective of this paper is to understand the dynamics of virus spread in a computer network by e-epidemic reaction-diffusion model and applying an implicit finite difference (FD) scheme for a numerical solution. The SIR models are used in studies of epidemiology to predict the behavior of the propagation of biological viruses within the population. We divide the population of computer nodes into three parts i.e. susceptible (may catch the virus), infected 1 (infected but not completely), and infected 2 (completely infected). By using Taylor's series expansion the consistency of the implicit scheme is proved. The unconditional stability of the implicit FD model is proved by using the Von Numan stability analysis. The qualitative analysis of the underlying model is also analyzed such as positivity and boundedness of the model. The numerical stability and bifurcation of is also analyzed. Likewise, identical modeling techniques are adopted to analyze the spread of the virus in digital networks. Because the computer virus behaves in the identical way as the biological virus behaves, this paper emphasizes the significance of diffusion in decreasing the gap between reality and theory, offering a more precise depiction of the spread of the virus within the digital network.
dc.description.sponsorshipSiirt University
dc.description.sponsorshipWe would like to thank Reviewers for taking the time and effort necessary to review the manuscript. We sincerely appreciate all valuable comments and suggestions, which helped us to improve the quality of the manuscript.
dc.identifier.doi10.1140/epjp/s13360-024-05209-9
dc.identifier.issn2190-5444
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85193940424
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1140/epjp/s13360-024-05209-9
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7193
dc.identifier.volume139
dc.identifier.wosWOS:001228896700003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofEuropean Physical Journal Plus
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleNumerical modeling of reaction-diffusion e-epidemic dynamics
dc.typeArticle

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