A mathematical study of a tuberculosis model with fractional derivatives

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dc.contributor.authorAbboubakar, Hamadjam
dc.contributor.authorKumar, Pushpendra
dc.contributor.authorErturk, Vedat Suat
dc.contributor.authorKumar, Anoop
dc.date.accessioned2024-01-21T10:35:28Z
dc.date.accessioned2024-08-13T11:17:10Z
dc.date.available2024-01-21T10:35:28Z
dc.date.available2024-08-13T11:17:10Z
dc.date.issued2021-02-04T00:00:00
dc.description.abstractIn this work, we use a Predictor-Corrector method to implement and derive an iterative solution of an existing Tuberculosis (TB) model with two fractional derivatives, namely, Caputo-Fabrizio fractional derivative and the new generalized Caputo fractional derivative. We begin by recalling some existing results such as the basic reproduction number R0 and the equilibrium points of the model. Then, we study the global asymptotic stability of disease-free equilibrium of the fractional models. We also prove, for each fractional model, the existence and uniqueness of solutions. An iterative solution of the two models is computed using the Predictor-Corrector method. Using realistic parameter values, we perform numerical simulations for different values of the fractional order. Simulation results permit to conclude that the new generalized Caputo fractional derivative provides a more realistic analysis than the Caputo-Fabrizio fractional derivative and the classical integer-order TB model. � 2021 World Scientific Publishing Company.en_US
dc.identifier.doi10.1142/S1793962321500379
dc.identifier.issn17939623
dc.identifier.urihttp://10.2.3.109/handle/32116/3336
dc.identifier.urlhttps://www.worldscientific.com/doi/abs/10.1142/S1793962321500379
dc.language.isoen_USen_US
dc.publisherWorld Scientificen_US
dc.subjectasymptotic stabilityen_US
dc.subjectCaputo-Fabrizio (CF) fractional derivativeen_US
dc.subjectgeneralized Caputo derivativeen_US
dc.subjectPredictor-Corrector Method (PCM)en_US
dc.subjectTB modelen_US
dc.titleA mathematical study of a tuberculosis model with fractional derivativesen_US
dc.title.journalInternational Journal of Modeling, Simulation, and Scientific Computingen_US
dc.typeArticleen_US
dc.type.accesstypeClosed Accessen_US

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