Fractional order mathematical modeling of typhoid fever disease

• Published in: Results in physics Vol. 32; p. 105044
• Main Authors: Sinan, Muhammad, Shah, Kamal, Kumam, Poom, Mahariq, Ibrahim, Ansari, Khursheed J., Ahmad, Zubair, Shah, Zahir
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2022; Elsevier
• Subjects: Adam Bashforth method; Atangana–Baleanu operator; Existence and uniqueness; Lyapunov stability; Mathematical modeling; Mittag–Leffler function; Next generation matrix; 37M99; Next generation matrix; 26A33; Atangana–Baleanu operator; Lyapunov stability; Adam Bashforth method; Mathematical modeling; Mittag–Leffler function; Existence and uniqueness; 34A08; 93A30

This manuscript is devoted to focusing on the modeling and numerical solution of the dynamical model of Typhoid Fever. We use the Atangana–Baleanu operator with the Mittag–Leffler function in Caputo sense to study the behavior of the model. Both local and global stability analysis are studied. Furth...