A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative

We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We pr...

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Detalles Bibliográficos
Autores principales: Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7301114/
https://www.ncbi.nlm.nih.gov/pubmed/32572336
http://dx.doi.org/10.1186/s13662-020-02762-2
Descripción
Sumario:We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give approximate solution in convergent series. We prove the existence of a unique solution and the stability of the iteration approach by using fixed point theory. We also present numerical results to simulate virus transmission and compare the results with those of the Caputo derivative.

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