Modelling of a two prey and one predator system with switching effect

Prey switching strategy is adopted by a predator when they are provided with more than one prey and predator prefers to consume one prey over others. Though switching may occur due to various reasons such as scarcity of preferable prey or risk in hunting the abundant prey. In this work, we have prop...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Saha Sangeeta, Samanta Guruprasad
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	prey–predator model switching effect extinction bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999
Acceso en línea:	https://doaj.org/article/4b80d91b894849859e8eac5eec7bd905
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4b80d91b894849859e8eac5eec7bd905
record_format	dspace
spelling	oai:doaj.org-article:4b80d91b894849859e8eac5eec7bd9052021-12-05T14:10:44ZModelling of a two prey and one predator system with switching effect2544-729710.1515/cmb-2020-0120https://doaj.org/article/4b80d91b894849859e8eac5eec7bd9052021-07-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0120https://doaj.org/toc/2544-7297Prey switching strategy is adopted by a predator when they are provided with more than one prey and predator prefers to consume one prey over others. Though switching may occur due to various reasons such as scarcity of preferable prey or risk in hunting the abundant prey. In this work, we have proposed a prey-predator system with a particular type of switching functional response where a predator feeds on two types of prey but it switches from one prey to another when a particular prey population becomes lower. The ratio of consumption becomes significantly higher in the presence of prey switching for an increasing ratio of prey population which satisfies Murdoch’s condition [15]. The analysis reveals that two prey species can coexist as a stable state in absence of predator but a single prey-predator situation cannot be a steady state. Moreover, all the population can coexist only under certain restrictions. We get bistability for a certain range of predation rate for first prey population. Moreover, varying the mortality rate of the predator, an oscillating system can be obtained through Hopf bifurcation. Also, the predation rate for the first prey can turn a steady-state into an oscillating system. Except for Hopf bifurcation, some other local bifurcations also have been studied here. The figures in the numerical simulation have depicted that, if there is a lesser number of one prey present in a system, then with time, switching to the other prey, in fact, increases the predator population significantly.Saha SangeetaSamanta GuruprasadDe Gruyterarticleprey–predator modelswitching effectextinctionbifurcationspersistence92d2592d4034c23BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 90-113 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	prey–predator model switching effect extinction bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999
spellingShingle	prey–predator model switching effect extinction bifurcations persistence 92d25 92d40 34c23 Biotechnology TP248.13-248.65 Physics QC1-999 Saha Sangeeta Samanta Guruprasad Modelling of a two prey and one predator system with switching effect
description	Prey switching strategy is adopted by a predator when they are provided with more than one prey and predator prefers to consume one prey over others. Though switching may occur due to various reasons such as scarcity of preferable prey or risk in hunting the abundant prey. In this work, we have proposed a prey-predator system with a particular type of switching functional response where a predator feeds on two types of prey but it switches from one prey to another when a particular prey population becomes lower. The ratio of consumption becomes significantly higher in the presence of prey switching for an increasing ratio of prey population which satisfies Murdoch’s condition [15]. The analysis reveals that two prey species can coexist as a stable state in absence of predator but a single prey-predator situation cannot be a steady state. Moreover, all the population can coexist only under certain restrictions. We get bistability for a certain range of predation rate for first prey population. Moreover, varying the mortality rate of the predator, an oscillating system can be obtained through Hopf bifurcation. Also, the predation rate for the first prey can turn a steady-state into an oscillating system. Except for Hopf bifurcation, some other local bifurcations also have been studied here. The figures in the numerical simulation have depicted that, if there is a lesser number of one prey present in a system, then with time, switching to the other prey, in fact, increases the predator population significantly.
format	article
author	Saha Sangeeta Samanta Guruprasad
author_facet	Saha Sangeeta Samanta Guruprasad
author_sort	Saha Sangeeta
title	Modelling of a two prey and one predator system with switching effect
title_short	Modelling of a two prey and one predator system with switching effect
title_full	Modelling of a two prey and one predator system with switching effect
title_fullStr	Modelling of a two prey and one predator system with switching effect
title_full_unstemmed	Modelling of a two prey and one predator system with switching effect
title_sort	modelling of a two prey and one predator system with switching effect
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/4b80d91b894849859e8eac5eec7bd905
work_keys_str_mv	AT sahasangeeta modellingofatwopreyandonepredatorsystemwithswitchingeffect AT samantaguruprasad modellingofatwopreyandonepredatorsystemwithswitchingeffect
_version_	1718371784852504576

Modelling of a two prey and one predator system with switching effect

Ejemplares similares