Abstract
In this chapter, we create a malaria mathematical epidemic model first in classical integer order and then apply the Atangana-Baleanu fractional derivative in Caputo sense with a nonlocal singular kernel between host-to-vector and vice versa. We will study some of the important mathematical results of the proposed fractional model. We will study the equilibrium points of this disease. Next, we study the local stability as well as global stability of the disease-free equilibrium points. We also discussed the threshold quantity, which is the basic reproduction number and is denoted by R0. The numerical analysis work of this disease has been done by the use of fractional calculus fundamental theorem and the two-step Lagrange polynomial. The chapter ends with some conclusion and discussion.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
