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The global stability investigation of the mathematical design of a fractional-order HBV infection

This work presents approximate solutions of a fractional-order design for hepatitis B virus infection. The numerical solution of the system is given by using an implicit fractional linear multi-step method of the second order. Here, Caputo fractional derivative is considered for fractional derivativ...

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Detalles Bibliográficos
Autor principal: Karaman, Bahar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8968785/
https://www.ncbi.nlm.nih.gov/pubmed/35378779
http://dx.doi.org/10.1007/s12190-022-01721-2
Descripción
Sumario:This work presents approximate solutions of a fractional-order design for hepatitis B virus infection. The numerical solution of the system is given by using an implicit fractional linear multi-step method of the second order. Here, Caputo fractional derivative is considered for fractional derivative. Basic theoretical properties are discussed. We prove the global stability analysis of the fractional-order model. Numerical simulations are demonstrated to display our theoretical results. This current study is to reveal that the order of the fractional derivative [Formula: see text] does not affect the regular state’s stability concerning both theoretical and numerical results. Besides, if the fractional-order [Formula: see text] increases, the solutions converge more rapidly to the regular states. Finally, we note that this study can provide beneficial outcomes for understanding and estimating the dissipation of distinct epidemics.