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Standard routine techniques of modeling of tick-borne encephalitis

dc.contributor.authorAkram, Saima
dc.contributor.authorArooj, Aroosa
dc.contributor.authorYasmin, Nusrat
dc.contributor.authorGhaffar, Abdul
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorKhan, Ilyas
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-01-12T06:50:47Z
dc.date.available2023-01-12T06:50:47Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractTick-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.en_US
dc.description.publishedMonth1
dc.identifier.citationAkram, Saima...et al. (2020). "Standard routine techniques of modeling of tick-borne encephalitis", Open Physics, Vol. 18, No. 1, pp. 820-828.en_US
dc.identifier.doi10.1515/phys-2020-0113
dc.identifier.endpage828en_US
dc.identifier.issn2391-5471
dc.identifier.issue1en_US
dc.identifier.startpage820en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6059
dc.identifier.volume18en_US
dc.language.isoenen_US
dc.relation.ispartofOpen Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBasic Reproduction Numberen_US
dc.subjectEncephalitisen_US
dc.subjectImmuneen_US
dc.subjectMathematical Modelingen_US
dc.subjectStabilityen_US
dc.subjectVector-Borne Diseaseen_US
dc.titleStandard routine techniques of modeling of tick-borne encephalitistr_TR
dc.titleStandard Routine Techniques of Modeling of Tick-Borne Encephalitisen_US
dc.typeArticleen_US
dspace.entity.typePublication

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