Open AccessModeling and analysis of fractional order Zika model
Author(s) -
Muhammad Farman,
AUTHOR_ID,
Ali Akgül,
Sameh Askar,
Thongchai Botmart,
Aqeel Ahmad,
Hijaz Ahmad,
AUTHOR_ID,
AUTHOR_ID,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022216
Subject(s) - fractal , mathematics , operator (biology) , kernel (algebra) , fractal dimension , zika virus , stability (learning theory) , fractional calculus , fixed point theorem , pure mathematics , mathematical analysis , computer science , virus , virology , medicine , biochemistry , chemistry , repressor , machine learning , transcription factor , gene
We propose mathematical model for the transmission of the Zika virus for humans spread by mosquitoes. We construct a scheme for the Zika virus model with Atangna-Baleanue Caputo sense and fractal fractional operator by using generalized Mittag-Leffler kernel. The positivity and boundedness of the model are also calculated. The existence of uniquene solution is derived and stability analysis has been made for the model by using the fixed point theory. Numerical simulations are made by using the Atangana-Toufik scheme and fractal fractional operator with a different dimension of fractional values which support the theoretical outcome of the proposed system. Developed scheme including simulation will provide better understanding in future analysis and for control strategy regarding Zika virus.