Modeling and analysis of fractional order Zika model
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Zika virus, Atangana-Baleanu in Caputo sense, Atangana-Toufik, fractal fractional, Mittag-Leffler kernel
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
7
Sayı
3
