Mathematical modeling of Ebola using delay differential equations

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dc.authoridTorregrosa, Juan R./0000-0002-9893-0761
dc.contributor.authorRaza, Ali
dc.contributor.authorAhmed, Nauman
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAkguel, Ali
dc.contributor.authorCordero, Alicia
dc.contributor.authorTorregrosa, Juan R.
dc.date.accessioned2024-12-24T19:25:06Z
dc.date.available2024-12-24T19:25:06Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractNonlinear delay differential equations (NDDEs) are essential in mathematical epidemiology, computational mathematics, sciences, etc. In this research paper, we have presented a delayed mathematical model of the Ebola virus to analyze its transmission dynamics in the human population. The delayed Ebola model is based on the four human compartments susceptible, exposed, infected, and recovered (SEIR). A time-delayed technique is used to slow down the dynamics of the host population. Two significant stages are analyzed in the said model: Ebola-free equilibrium (EFE) and Ebola-existing equilibrium (EEE). Also, the reproduction number of a model with the sensitivity of parameters is studied. Furthermore, the local asymptotical stability (LAS) and global asymptotical stability (GAS) around the two stages are studied rigorously using the Jacobian matrix Routh-Hurwitz criterion strategies for stability and Lyapunov function stability. The delay effect has been observed in the model in inverse relation of susceptible and infected humans (it means the increase of delay tactics that the susceptibility of humans increases and the infectivity of humans decreases eventually approaches zero which means that Ebola has been controlled into the population). For the numerical results, the Euler method is designed for the system of delay differential equations (DDEs) to verify the results with an analytical model analysis.
dc.description.sponsorshipUniversitat Politcnica de Valncia
dc.description.sponsorshipThe authors would like to thank the anonymous reviewers for their useful comments and suggestions.
dc.identifier.doi10.1007/s40808-024-02124-x
dc.identifier.endpage6322
dc.identifier.issn2363-6203
dc.identifier.issn2363-6211
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85202614220
dc.identifier.scopusqualityQ1
dc.identifier.startpage6309
dc.identifier.urihttps://doi.org/10.1007/s40808-024-02124-x
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6261
dc.identifier.volume10
dc.identifier.wosWOS:001299697700002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofModeling Earth Systems and Environment
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectEbola disease
dc.subjectDelay differential equations (DDE's)
dc.subjectReproduction number and sensitivity analysis
dc.subjectLyapunov function
dc.subjectStability analysis
dc.subjectNumerical results
dc.titleMathematical modeling of Ebola using delay differential equations
dc.typeArticle

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