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

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
Materias:
prey-predator model
fractional-order system
global stability
holling ii functional response
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/276bfb9f5425432bb42edbdfdaff7a61
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spelling oai:doaj.org-article:276bfb9f5425432bb42edbdfdaff7a612021-11-09T01:57:55ZDynamical analysis of fractional-order Holling type-II food chain model10.3934/mbe.20212651551-0018https://doaj.org/article/276bfb9f5425432bb42edbdfdaff7a612021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021265?viewType=HTMLhttps://doaj.org/toc/1551-0018This 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.Cuimin LiuZhen WangBo MengAIMS Pressarticleprey-predator modelfractional-order systemglobal stabilityholling ii functional responseBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5221-5235 (2021)
institution DOAJ
collection DOAJ
language EN
topic prey-predator model
fractional-order system
global stability
holling ii functional response
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
spellingShingle prey-predator model
fractional-order system
global stability
holling ii functional response
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
Cuimin Liu
Zhen Wang
Bo Meng
Dynamical analysis of fractional-order Holling type-II food chain model
description 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.
format article
author Cuimin Liu
Zhen Wang
Bo Meng
author_facet Cuimin Liu
Zhen Wang
Bo Meng
author_sort Cuimin Liu
title Dynamical analysis of fractional-order Holling type-II food chain model
title_short Dynamical analysis of fractional-order Holling type-II food chain model
title_full Dynamical analysis of fractional-order Holling type-II food chain model
title_fullStr Dynamical analysis of fractional-order Holling type-II food chain model
title_full_unstemmed Dynamical analysis of fractional-order Holling type-II food chain model
title_sort dynamical analysis of fractional-order holling type-ii food chain model
publisher AIMS Press
publishDate 2021
url https://doaj.org/article/276bfb9f5425432bb42edbdfdaff7a61
work_keys_str_mv AT cuiminliu dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel
AT zhenwang dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel
AT bomeng dynamicalanalysisoffractionalorderhollingtypeiifoodchainmodel
_version_ 1718441370824212480

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