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Published on: November 19, 2013
Dynamical analysis of fractional-order Holling type-II food chain model
Cuimin Liu1, Zhen Wang1, Bo Meng1
1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China.
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.
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