On modeling of coronavirus-19 disease under Mittag-Leffler power law

Advances in Difference Equations

article

Bushnaq, Samia¹  Shah, Kamal²  Alrabaiah, Hussam³ 

[1] Department of Basic Sciences, King Abdullah II for Engineering, Princess Sumaya University for Technology;Department of Mathematics, University of Malakand;Al Ain University;Mathematics Department, Tafila Technical University

关键词: Coronavirus disease model;    \((\mathcal{ABC})\) derivative;    Stability results;    Fractional Adams–Bashforth (AB) method;    Numerical simulations;   

DOI  :  10.1186/s13662-020-02943-z

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper investigates a new model on coronavirus-19 disease (COVID-19) with three compartments including susceptible, infected, and recovered class under Mittag-Leffler type derivative. The mentioned derivative has been introduced by Atangana, Baleanu, and Caputo abbreviated as$(\mathcal{ABC})$ . Upon utilizing fixed point theory, we first prove the existence of at least one solution for the considered model and its uniqueness. Also, some results about stability of Ulam–Hyers type are also established. By applying a numerical technique called fractional Adams–Bashforth (AB) method, we develop a scheme for the approximate solutions to the considered model. Using some real available data, we perform the concerned numerical simulation corresponding to different values of fractional order.

【 授权许可】

CC BY