Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators

Abstract

A mathematical system of equations using the concept of fractional differentiation with non-local and non-singular kernel has been analysed in this work. The developed mathematical model is designed to portray the spread of Zika virus within a given population. We presented the equilibrium point and also the reproductive number. The model was solving analytically using the Adams type predictor-corrector rule for Atangana-Baleanu fractional integral. The existence and uniqueness exact solution was presented under some conditions. The numerical replications were also presented. (C) 2017 All rights reserved.