Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function

The formation of spatiotemporal patterns is one of the most important part in the prey–predator dynamical system. In this paper, we investigate the local dynamics as well as the Turing structure through diffusion-driven instability by taking more general Crowley–Martin response function in the prey–...

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Autores principales:	Sajjad Hossain, Md. Manarul Haque, M. Humayun Kabir, M. Osman Gani, Sahabuddin Sarwardi
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Predator–prey model Stability Hopf bifurcation Harvesting Diffusion Turing structure Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/631647a8bd7b4f3dabad2190f52e0fa8
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spelling	oai:doaj.org-article:631647a8bd7b4f3dabad2190f52e0fa82021-12-04T04:36:23ZComplex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function2666-720710.1016/j.rico.2021.100059https://doaj.org/article/631647a8bd7b4f3dabad2190f52e0fa82021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666720721000345https://doaj.org/toc/2666-7207The formation of spatiotemporal patterns is one of the most important part in the prey–predator dynamical system. In this paper, we investigate the local dynamics as well as the Turing structure through diffusion-driven instability by taking more general Crowley–Martin response function in the prey–predator system with the effect of linear harvesting of prey and predator. All the feasible equilibrium points are extracted. Boundedness, persistence, local and global stability, and Hopf bifurcation are established for some suitable parametric conditions. The parametric space for which the Turing spatial structure takes place is found out. Different kinds of patterns are demonstrated depending on the ecological parameters of the local system and diffusion coefficients.Sajjad HossainMd. Manarul HaqueM. Humayun KabirM. Osman GaniSahabuddin SarwardiElsevierarticlePredator–prey modelStabilityHopf bifurcationHarvestingDiffusionTuring structureApplied mathematics. Quantitative methodsT57-57.97ENResults in Control and Optimization, Vol 5, Iss , Pp 100059- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Predator–prey model Stability Hopf bifurcation Harvesting Diffusion Turing structure Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Predator–prey model Stability Hopf bifurcation Harvesting Diffusion Turing structure Applied mathematics. Quantitative methods T57-57.97 Sajjad Hossain Md. Manarul Haque M. Humayun Kabir M. Osman Gani Sahabuddin Sarwardi Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
description	The formation of spatiotemporal patterns is one of the most important part in the prey–predator dynamical system. In this paper, we investigate the local dynamics as well as the Turing structure through diffusion-driven instability by taking more general Crowley–Martin response function in the prey–predator system with the effect of linear harvesting of prey and predator. All the feasible equilibrium points are extracted. Boundedness, persistence, local and global stability, and Hopf bifurcation are established for some suitable parametric conditions. The parametric space for which the Turing spatial structure takes place is found out. Different kinds of patterns are demonstrated depending on the ecological parameters of the local system and diffusion coefficients.
format	article
author	Sajjad Hossain Md. Manarul Haque M. Humayun Kabir M. Osman Gani Sahabuddin Sarwardi
author_facet	Sajjad Hossain Md. Manarul Haque M. Humayun Kabir M. Osman Gani Sahabuddin Sarwardi
author_sort	Sajjad Hossain
title	Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
title_short	Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
title_full	Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
title_fullStr	Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
title_full_unstemmed	Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function
title_sort	complex spatiotemporal dynamics of a harvested prey–predator model with crowley–martin response function
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/631647a8bd7b4f3dabad2190f52e0fa8
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Complex spatiotemporal dynamics of a harvested prey–predator model with Crowley–Martin response function

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