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A reliable and competitive mathematical analysis of Ebola epidemic model

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dc.contributor.author Rafiq, Muhammad
dc.contributor.author Ahmad, Waheed
dc.contributor.author Abbas, Mujahid
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-04T12:23:02Z
dc.date.available 2022-03-04T12:23:02Z
dc.date.issued 2020-10-01
dc.identifier.citation Rafiq, Muhammad...et al. (2020). "A reliable and competitive mathematical analysis of Ebola epidemic model", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/5079
dc.description.abstract The purpose of this article is to discuss the dynamics of the spread of Ebola virus disease (EVD), a kind of fever commonly known as Ebola hemorrhagic fever. It is rare but severe and is considered to be extremely dangerous. Ebola virus transmits to people through domestic and wild animals, called transmitting agents, and then spreads into the human population through close and direct contact among individuals. To study the dynamics and to illustrate the stability pattern of Ebola virus in human population, we have developed an SEIR type model consisting of coupled nonlinear differential equations. These equations provide a good tool to discuss the mode of impact of Ebola virus on the human population through domestic and wild animals. We first formulate the proposed model and obtain the value of threshold parameter R0 for the model. We then determine both the disease-free equilibrium (DFE) and endemic equilibrium (EE) and discuss the stability of the model. We show that both the equilibrium states are locally asymptotically stable. Employing Lyapunov functions theory, global stabilities at both the levels are carried out. We use the Runge-Kutta method of order 4 (RK4) and a non-standard finite difference (NSFD) scheme for the susceptible-exposed-infected-recovered (SEIR) model. In contrast to RK4, which fails for large time step size, it is found that the NSFD scheme preserves the dynamics of the proposed model for any step size used. Numerical results along with the comparison, using different values of step size h, are provided. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02994-2 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Ebola Virus tr_TR
dc.subject Nonlinear Model tr_TR
dc.subject Reproduction Number R0 tr_TR
dc.subject Positivity tr_TR
dc.subject Steady-State tr_TR
dc.subject Stability tr_TR
dc.subject Reliable tr_TR
dc.subject Competitive tr_TR
dc.subject Numerical Analysis tr_TR
dc.title A reliable and competitive mathematical analysis of Ebola epidemic model tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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