Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators
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Authors
Badr Saad T. Alkahtani
- Department of mathematics, colle of science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia.
Abdon Atangana
- Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300, Bloemfontein, South Africa.
Ilknur Koca
- Department of Mathematics, Faculty of Sciences, Mehmet Akif Ersoy University, 15100, Burdur, Turkey.
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.
Share and Cite
ISRP Style
Badr Saad T. Alkahtani, Abdon Atangana, Ilknur Koca, Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3191--3200
AMA Style
Alkahtani Badr Saad T., Atangana Abdon, Koca Ilknur, Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. J. Nonlinear Sci. Appl. (2017); 10(6):3191--3200
Chicago/Turabian Style
Alkahtani, Badr Saad T., Atangana, Abdon, Koca, Ilknur. "Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3191--3200
Keywords
- Zika virus
- reproduction number
- numerical approximation.
MSC
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