TY - JOUR AU - Alkahtani, Badr Saad T. AU - Atangana, Abdon AU - Koca, Ilknur PY - 2017 TI - Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators JO - Journal of Nonlinear Sciences and Applications SP - 3191--3200 VL - 10 IS - 6 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.06.32 DO - 10.22436/jnsa.010.06.32 ID - Alkahtani2017 ER -