On the existence and numerical simulation of Cholera epidemic model
Kamal Shah, Israr Ahmad, Shafiullah, Aiman Mukheimer, Thabet Abdeljawad, Mdi Begum Jeelani
Abstract
Abstract A model describing the transmission dynamics of cholera is considered in this article. The concerned model is investigated under the Caputo-Fabrizio fractal fractional derivative. The objective of this article is to study theoretical and numerical results for the model under our consideration. Classical fixed point approach is used to obtain sufficient conditions for the existence of solution to the proposed model. Adam’s Bashforth numerical method is utilized for the numerical interpretation of the suggested model. The considered technique is a powerful mathematical tool, that provides a numerical solution for the concerned problem. To discuss the transmission dynamics of the considered model, several graphical presentations are given.