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

Autor: Cuimin Liu, Zhen Wang, Bo Meng
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5221-5235 (2021)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2021265?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals