PIECEWISE MODELING OF THE TRANSMISSION DYNAMICS OF CONTAGIOUS BOVINE PLEUROPNEUMONIA DEPENDING ON VACCINATION AND ANTIBIOTIC TREATMENT

Sait Kirkpinar, Sadeq Taha Abdulazeez () and Mahmut Modanli ()
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Sait Kirkpinar: Faculty of Veterinary Medicine, Harran University, Sanliurfa 63300, Turkey
Sadeq Taha Abdulazeez: Department of Mathematics, College of Basic Education, Duhok University, Duhok 42001, Iraq
Mahmut Modanli: Department of Mathematics, Faculty of Sciences and Arts, Harran University, Sanliurfa 63300, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-14

Abstract: Atangana and Araz have introduced a new term called piecewise differentiation and integration which has been successfully applied to epidemiology in these days. This concept paves the way of seeing different patterns of modeling real-world problems. In this study, a mathematical model for the transmission dynamics of Contagious Bovine Pleuropneumonia (CBPP) is considered and modified based on vaccination and antibiotic therapy by using these operators. This model is classified into six classes namely susceptible, exposed, vaccinated, infectious, continuously infected, and treated classes. The model is solved by a numerical scheme based on Newton interpolation polynomial. The existence and uniqueness of the model are investigated. Various patterns of piecewise concepts have been presented through the numerical figures.

Keywords: Piecewise Modeling; Piecewise Numerical Scheme; CBPP; Vaccination; Antibiotic Treatment (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402174

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