Mathematical analysis and approximate solution of a fractional order caputo fascioliasis disease model

Abstract

In this article, a mathematical model split into different compartments of population describing the transmission of fascioliasis in humans, domestic animals and environmental sources under the Caputo fractional derivative is presented. Analytical results involving the existence and uniqueness of, at least a solution of the model through fixed point approach is established. The basic reproduction number ( R f c ) is obtained using the next generation matrix method and the fascioliasis - free and endemic equilibrium is obtained to show that the fascioliasis - free equilibrium is locally and globally asymptotically stable whenever R f c is less than unity. The numerical modified Euler method for the fractional order Caputo fascioliasis model is utilized, and the simulations show that the method is efficient and convergent.