1. Existence, uniqueness, and stability of fractional hepatitis B epidemic model.
- Author
-
Khan A, Hussain G, Inc M, and Zaman G
- Subjects
- Adolescent, Adult, Basic Reproduction Number, Female, Hepatitis B virology, Hepatitis B virus, Humans, Male, Middle Aged, Pakistan epidemiology, Prevalence, Young Adult, Epidemics, Hepatitis B epidemiology, Hepatitis B transmission
- Abstract
This paper describes the existence and stability of the hepatitis B epidemic model with a fractional-order derivative in Atangana-Baleanu sense. Some new results are handled by using the Sumudu transform. The existence and uniqueness of the equilibrium solution are presented using the Banach fixed-point theorem. Moreover, sensitivity analysis complemented by simulations is performed to determine how changes in parameters affect the dynamical behavior of the system. The numerical simulations are carried out using a predictor-corrector scheme to demonstrate the obtained results.
- Published
- 2020
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