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On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model

Qura Tul Ain, Naveed Anjum, Anwarud Din, Anwar Zeb, Salih Djilali, Zareen A. Khan

2021Alexandria Engineering Journal44 citationsDOIOpen Access PDF

Abstract

The current paper deals with the transmission of MERS-CoV model between the humans populace and the camels, which are suspected to be the primary source for the infection. The effect of time MERS-CoV disease transmission is explored using a non-linear fractional order in the sense of Caputo operator in this paper. The considered model is analyzed for the qualitative theory, uniqueness of the solution are discussed by using the Banach contraction principle. Stability analysis is investigated by the aid of Ulam-Hyres (UH) and its generalized version. Finally, we show the numerical results with the help of generalized Adams-Bashforth-Moulton Method (GABMM) are used for the proposed model, for supporting our analytical work.

Topics & Concepts

UniquenessMathematicsTransmission (telecommunications)Applied mathematicsCoronavirus disease 2019 (COVID-19)Operator (biology)Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Stability (learning theory)Epidemic modelMathematical analysisComputer scienceInfectious disease (medical specialty)DiseaseMedicineBiologyTelecommunicationsEnvironmental healthMachine learningGenePopulationRepressorTranscription factorBiochemistryPathologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models
On the analysis of Caputo fractional order dynamics of Middle East Lungs Coronavirus (MERS-CoV) model | Litcius