Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters

In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal har...

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Autores principales:	Qinglong Wang, Shuqi Zhai, Qi Liu, Zhijun Liu
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	predator-prey system prey refuge fuzzy number stability bionomic equilibrium fuzzy optimal harvesting Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/966516f4922344d08b4538af53df6d06
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spelling	oai:doaj.org-article:966516f4922344d08b4538af53df6d062021-11-29T03:04:58ZStability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters10.3934/mbe.20214481551-0018https://doaj.org/article/966516f4922344d08b4538af53df6d062021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021448?viewType=HTMLhttps://doaj.org/toc/1551-0018In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail.Qinglong WangShuqi ZhaiQi Liu Zhijun LiuAIMS Pressarticlepredator-prey systemprey refugefuzzy numberstabilitybionomic equilibriumfuzzy optimal harvestingBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 9094-9120 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	predator-prey system prey refuge fuzzy number stability bionomic equilibrium fuzzy optimal harvesting Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	predator-prey system prey refuge fuzzy number stability bionomic equilibrium fuzzy optimal harvesting Biotechnology TP248.13-248.65 Mathematics QA1-939 Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
description	In this manuscript, a novel predator-prey system combining prey refuge with fuzzy parameters is formulated. Sufficient conditions for the existence and stability of biological equilibria are derived. The existence of bionomic equilibria is discussed under fuzzy biological parameters. The optimal harvesting policy, by Pontryagin's maximal principle, is also investigated under imprecise inflation and discount in fuzzy environment. Meticulous numerical simulations are performed to validate our theoretical analysis in detail.
format	article
author	Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu
author_facet	Qinglong Wang Shuqi Zhai Qi Liu Zhijun Liu
author_sort	Qinglong Wang
title	Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
title_short	Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
title_full	Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
title_fullStr	Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
title_full_unstemmed	Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
title_sort	stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/966516f4922344d08b4538af53df6d06
work_keys_str_mv	AT qinglongwang stabilityandoptimalharvestingofapredatorpreysystemcombiningpreyrefugewithfuzzybiologicalparameters AT shuqizhai stabilityandoptimalharvestingofapredatorpreysystemcombiningpreyrefugewithfuzzybiologicalparameters AT qiliu stabilityandoptimalharvestingofapredatorpreysystemcombiningpreyrefugewithfuzzybiologicalparameters AT zhijunliu stabilityandoptimalharvestingofapredatorpreysystemcombiningpreyrefugewithfuzzybiologicalparameters
_version_	1718407661121175552

Stability and optimal harvesting of a predator-prey system combining prey refuge with fuzzy biological parameters

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