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

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 th...

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Autores principales: Cuimin Liu, Zhen Wang, Bo Meng
Formato: article
Lenguaje:EN
Publicado: AIMS Press 2021
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Acceso en línea:https://doaj.org/article/276bfb9f5425432bb42edbdfdaff7a61
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Sumario: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.