Stability Analysis and Numerical Computation of the Fractional Predator-Prey Model with the Harvesting Rate
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, a fractional predator-prey model with the harvesting rate is considered. Besides the existence and uniqueness of the solution to the model, local stability and global stability are experienced. A novel discretization depending on the numerical discretization of the Riemann-Liouville integral was introduced and the corresponding numerical discretization of the predator-prey fractional model was obtained. The net reproduction numberR0was obtained for the prediction and persistence of the disease. The dynamical behavior of the equilibria was examined by using the stability criteria. Furthermore, numerical simulations of the model were performed and their graphical representations are shown to support the numerical discretizations, to visualize the effectiveness of our theoretical results and to monitor the effect of arbitrary order derivative. In our investigations, the fractional operator is understood in the Caputo sense.
Açıklama
Anahtar Kelimeler
Caputo Fractional Derivative, Predator-Prey Model, Harvesting Rate, Stability Analysis, Equilibrium Point, Implicit Discretization Numerical Scheme
Kaynak
Fractal And Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
4
Sayı
3
