A new modeling and existence-uniqueness analysis for Babesiosis disease of fractional order

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dc.contributor.authorJena, Rajarama Mohan
dc.contributor.authorChakraverty, Snehashish
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-02-23T14:26:25Z
dc.date.available2024-02-23T14:26:25Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractIn this study, we consider the dynamics of the Babesiosis transmission on bovine populations and ticks. The most important role in the transmission of the parasite is the ticks from the Ixodidae family. The vector tick takes factors (merozoites in erythrocytes) from the diseased animal while sucking the blood. To model and investigate the transmissions of this parasite and address this important issue, we have considered the disease in a fractional epidemiological model. This paper, therefore, discusses the mechanisms of transmission of Babesiosis defined in the fractional derivative sense. The Caputo-Fabrizio (CF) derivative is considered to study the propagation mechanisms of Babesiosis. First, the important characteristics of the model have been presented, and then the transmission of the Babesiosis model defined in CF is discussed. The application of fixed-point theory is used to derive the concept of the qualitative properties of the mentioned model. The solution is obtained by using the Homotopy perturbation Elzaki transform method (HPETM). Numerical simulations are performed, and the effects of the arbitrary-order derivatives are investigated graphically.en_US
dc.description.sponsorshipDepartment of Science and Technology of the Government of India [IF170207]; TUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipRajarama Mohan Jena is grateful for the INSPIRE Fellowship (IF170207) given by the Department of Science and Technology of the Government of India for carrying out the research. M. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey).en_US
dc.identifier.doi10.1142/S0217984921504431
dc.identifier.issn0217-9849
dc.identifier.issn1793-6640
dc.identifier.issue30en_US
dc.identifier.scopus2-s2.0-85114307254en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S0217984921504431
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14170
dc.identifier.volume35en_US
dc.identifier.wosWOS:000709393800011en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofModern Physics Letters Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectCaputo-Fabrizio Derivativeen_US
dc.subjectFixed-Point Theoremen_US
dc.subjectBabesiosis Diseaseen_US
dc.subjectEpidemiologyen_US
dc.subjectPerturbation Methoden_US
dc.titleA new modeling and existence-uniqueness analysis for Babesiosis disease of fractional orderen_US
dc.typeArticleen_US

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