Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect

In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium point...

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Autores principales:	Huanyi Liu, Hengguo Yu, Chuanjun Dai, Zengling Ma, Qi Wang, Min Zhao
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	amensalism model allee effect harvest transcritical bifurcation saddle-node bifurcation Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f1111c9db6464fd5b8abd1d4f465a8b7
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id	oai:doaj.org-article:f1111c9db6464fd5b8abd1d4f465a8b7
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spelling	oai:doaj.org-article:f1111c9db6464fd5b8abd1d4f465a8b72021-11-29T02:43:57ZDynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect10.3934/mbe.20214371551-0018https://doaj.org/article/f1111c9db6464fd5b8abd1d4f465a8b72021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021437?viewType=HTMLhttps://doaj.org/toc/1551-0018In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.Huanyi LiuHengguo YuChuanjun Dai Zengling MaQi Wang Min ZhaoAIMS Pressarticleamensalism modelallee effectharvesttranscritical bifurcationsaddle-node bifurcationBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8857-8882 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	amensalism model allee effect harvest transcritical bifurcation saddle-node bifurcation Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	amensalism model allee effect harvest transcritical bifurcation saddle-node bifurcation Biotechnology TP248.13-248.65 Mathematics QA1-939 Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
description	In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.
format	article
author	Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao
author_facet	Huanyi Liu Hengguo Yu Chuanjun Dai Zengling Ma Qi Wang Min Zhao
author_sort	Huanyi Liu
title	Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
title_short	Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
title_full	Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
title_fullStr	Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
title_full_unstemmed	Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
title_sort	dynamical analysis of an aquatic amensalism model with non-selective harvesting and allee effect
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/f1111c9db6464fd5b8abd1d4f465a8b7
work_keys_str_mv	AT huanyiliu dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect AT hengguoyu dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect AT chuanjundai dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect AT zenglingma dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect AT qiwang dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect AT minzhao dynamicalanalysisofanaquaticamensalismmodelwithnonselectiveharvestingandalleeeffect
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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect

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