Dynamical analysis of fractional-order Holling type-II food chain model

oleh: Cuimin Liu, Zhen Wang, Bo Meng

Format: Article
Diterbitkan: AIMS Press 2021-06-01

Deskripsi

This paper proposed a fractional-order Holling type-II food chain model. First, we verified the existence, uniqueness, nonnegativity and boundedness of the solution of the model, and some conditions for equilibrium existence and local stability were studied. Second, a controller was proposed, and the Lyapunov method was used to study the global stability of the positive equilibrium point. Finally, numerical simulations were performed to verify the theoretical results.