Dynamical Behaviors of a Fractional-Order Predator-Prey Model: Insights Into Multiple Predators Competing for a Single Prey
Yükleniyor...
Dosyalar
Tarih
2025-02-17
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Pub Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate the dynamical behaviors of a modified Bazykin-type two predator-one prey model involving the intra-specific and inter-specific competition among predators. A Caputo fractional-order derivative is utilized to include the influence of the memory on the constructed mathematical model. The mathematical validity is ensured by showing the model always has a unique, non-negative and bounded solution. Four kinds of equilibria are well identified which represent the condition when all populations are extinct, both two predators are extinct, only the first predator is extinct, only the second predator is extinct, and all populations are extinct. The Matignon condition is given to identify the dynamics around equilibrium points. The Lyapunov direct method, the Lyapunov function, and the generalized LaSalle invariant principle are also provided to show the global stability condition of the model. To explore the dynamics of the model more deeply, we utilize the predictor–corrector numerical scheme. Numerically, we find the forward bifurcation and the bistability conditions by showing the bifurcation diagram, phase portraits, and the time series. The biological interpretation of the analytical and numerical results is described explicitly when an interesting phenomenon occurs.
Açıklama
Anahtar Kelimeler
bifurcation, bistability, competitions, fractional-order derivative, Predator–prey
Kaynak
Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Panigoro, H. S., Rahmi, E., Bonyah, E., Akgul, A., & Jose, S. A. (2025). Dynamical Behaviors of a Fractional-Order Predator-Prey Model: Insights Into Multiple Predators Competing for a Single Prey. Fractals.
