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

作者：Alkahtani Badr Saad T; Atangana Abdon^*; Koca Ilknur

来源：Journal of Nonlinear Sciences and Applications, 2017, 10(6): 3191-3200.

DOI：10.22436/jnsa.010.06.32

• Zika virus
• reproduction number
• numerical approximation

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.

• 出版日期2017