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Standard routine techniques of modeling of tick-borne encephalitis

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dc.contributor.author Akram, Saima
dc.contributor.author Arooj, Aroosa
dc.contributor.author Yasmin, Nusrat
dc.contributor.author Ghaffar, Abdul
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Khan, Ilyas
dc.date.accessioned 2023-01-12T06:50:47Z
dc.date.available 2023-01-12T06:50:47Z
dc.date.issued 2020-01-01
dc.identifier.citation Akram, Saima...et al. (2020). "Standard routine techniques of modeling of tick-borne encephalitis", Open Physics, Vol. 18, No. 1, pp. 820-828. tr_TR
dc.identifier.issn 2391-5471
dc.identifier.uri http://hdl.handle.net/20.500.12416/6059
dc.description.abstract Tick-borne encephalitis (TBE) is a flaviviral vector-borne disease, which is spread by a tick named Ixodes persulcatus in domestic animals as well as in humans. In this article, susceptible, exposed, infected, recovered model; with no immunity after getting recovered is taken. The only possible immunity is before getting the disease (in our model). The vaccination details are also discussed in the article. Hence, SEIS (susceptible, exposed, infected and again susceptible with zero removal from the specie compartment) is used to construct a mathematical model of TBE. TBE is acute inflammation of the brain parenchyma. After becoming viral in European states and some Asian countries, especially in China, this is an emerging viral disease in Pakistan. After constructing a model, formula for the basic reproduction number R 0-like threshold has been derived by using the next-generation matrix method. The formula for R 0-like threshold is used to evaluate whether the disease is going to be outbroken in the respective area from which the specific data are taken into consideration. The main motivation behind selection of this topic is to address the unawareness of this disease specifically in Pakistan and in its neighboring countries when there persists probability for the outbreak of this disease. Some equilibrium points and their local stability is also discussed. Numerical computations and graphs are also presented to validate the results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1515/phys-2020-0113 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Basic Reproduction Number tr_TR
dc.subject Encephalitis tr_TR
dc.subject Immune tr_TR
dc.subject Mathematical Modeling tr_TR
dc.subject Stability tr_TR
dc.subject Vector-Borne Disease tr_TR
dc.title Standard routine techniques of modeling of tick-borne encephalitis tr_TR
dc.type article tr_TR
dc.relation.journal Open Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 18 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 820 tr_TR
dc.identifier.endpage 828 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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