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Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions

dc.contributor.authorSingh, Jaskirat Pal
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKumar, Sachin
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-24T12:00:12Z
dc.date.available2024-01-24T12:00:12Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractMarburg virus disease is a particularly virulent illness that causes hemorrhagic fever and has a fatality rate of up to 88%. It belongs to the same family of pathogens as the Ebola virus. The disease was first identified in 1967 as a result of two significant epidemics that happened concurrently in Marburg, hence the name Marburg, Frankfurt, both in Germany, and Belgrade, Serbia. This work proposes a unique fractional model for the Marburg virus based on the Atangana–Baleanu derivative in the Caputo sense. For the model, two equilibrium states have been founded: endemic equilibrium and disease-free equilibrium. If R< 1 , Castillo’s method and the next-generation matrix are used to demonstrate the disease-free equilibrium’s asymptotic global stability. When R> 1 , the endemic equilibrium point is locally asymptotically stable, according to the linearization. The model’s basic reproduction rates for both humans and bats are calculated using the parameter values. Fixed point theory is used to demonstrate the solution’s existence and uniqueness. Number of infected bats should be controlled and interaction with just recovered individuals should be avoided as these are the main contributors in the infection rate. These recommended actions will make the infected persons in the humans disappear, as demonstrated by the model’s numerical simulations.en_US
dc.description.publishedMonth11
dc.identifier.citationSingh, Jaskirat Pal...et.al. (2023). "Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions", European Physical Journal: Special Topics, Vol.232, No.14-15, pp.2645-2655.en_US
dc.identifier.doi10.1140/epjs/s11734-023-00943-0
dc.identifier.endpage2655en_US
dc.identifier.issn19516355
dc.identifier.issue14-15en_US
dc.identifier.startpage2645en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6984
dc.identifier.volume232en_US
dc.language.isoenen_US
dc.relation.ispartofEuropean Physical Journal: Special Topicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleTransmission dynamics of a novel fractional model for the Marburg virus and recommended actionstr_TR
dc.titleTransmission Dynamics of a Novel Fractional Model for the Marburg Virus and Recommended Actionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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