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

Abstract

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.

Keywords

• prey-predator model
• fractional-order system
• global stability
• holling ii functional response