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: | , , |
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Formato: | article |
Lenguaje: | EN |
Publicado: |
AIMS Press
2021
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Materias: | |
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. |
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