An Eco-Epidemiological Model Incorporating Harvesting Factors

The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator...

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Autores principales:	Kawa Hassan, Arkan Mustafa, Mudhafar Hama
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	prey-predator model eco-epidemiological model harvesting factor equilibrium points existence criteria stability analysis Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a2d890f43aa842258bd9485a23d009d9
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id	oai:doaj.org-article:a2d890f43aa842258bd9485a23d009d9
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spelling	oai:doaj.org-article:a2d890f43aa842258bd9485a23d009d92021-11-25T19:07:23ZAn Eco-Epidemiological Model Incorporating Harvesting Factors10.3390/sym131121792073-8994https://doaj.org/article/a2d890f43aa842258bd9485a23d009d92021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2179https://doaj.org/toc/2073-8994The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.Kawa HassanArkan MustafaMudhafar HamaMDPI AGarticleprey-predator modeleco-epidemiological modelharvesting factorequilibrium pointsexistence criteriastability analysisMathematicsQA1-939ENSymmetry, Vol 13, Iss 2179, p 2179 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	prey-predator model eco-epidemiological model harvesting factor equilibrium points existence criteria stability analysis Mathematics QA1-939
spellingShingle	prey-predator model eco-epidemiological model harvesting factor equilibrium points existence criteria stability analysis Mathematics QA1-939 Kawa Hassan Arkan Mustafa Mudhafar Hama An Eco-Epidemiological Model Incorporating Harvesting Factors
description	The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.
format	article
author	Kawa Hassan Arkan Mustafa Mudhafar Hama
author_facet	Kawa Hassan Arkan Mustafa Mudhafar Hama
author_sort	Kawa Hassan
title	An Eco-Epidemiological Model Incorporating Harvesting Factors
title_short	An Eco-Epidemiological Model Incorporating Harvesting Factors
title_full	An Eco-Epidemiological Model Incorporating Harvesting Factors
title_fullStr	An Eco-Epidemiological Model Incorporating Harvesting Factors
title_full_unstemmed	An Eco-Epidemiological Model Incorporating Harvesting Factors
title_sort	eco-epidemiological model incorporating harvesting factors
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/a2d890f43aa842258bd9485a23d009d9
work_keys_str_mv	AT kawahassan anecoepidemiologicalmodelincorporatingharvestingfactors AT arkanmustafa anecoepidemiologicalmodelincorporatingharvestingfactors AT mudhafarhama anecoepidemiologicalmodelincorporatingharvestingfactors AT kawahassan ecoepidemiologicalmodelincorporatingharvestingfactors AT arkanmustafa ecoepidemiologicalmodelincorporatingharvestingfactors AT mudhafarhama ecoepidemiologicalmodelincorporatingharvestingfactors
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An Eco-Epidemiological Model Incorporating Harvesting Factors

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