Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model

Prey-predator models with refuge effect have great importance in the context of ecology. Constant refuge and refuge proportional to prey are the most popular concepts of refuge in the existing literature. Now, there are new different types of refuge concepts attracting researchers. This study consid...

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Autores principales:	G. S. Mahapatra, P. K. Santra, Ebenezer Bonyah
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/21c62578b8284c559ea23d8b49a43824
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spelling	oai:doaj.org-article:21c62578b8284c559ea23d8b49a438242021-11-08T02:36:55ZDynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model1099-052610.1155/2021/6209908https://doaj.org/article/21c62578b8284c559ea23d8b49a438242021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6209908https://doaj.org/toc/1099-0526Prey-predator models with refuge effect have great importance in the context of ecology. Constant refuge and refuge proportional to prey are the most popular concepts of refuge in the existing literature. Now, there are new different types of refuge concepts attracting researchers. This study considers a refuge concept proportional to the predator due to the fear induced by predators. When predators increase, fears also increase and that is why prey refuges also increase. Here, we examine the influence of prey refuge proportional to predator effect in a discrete prey-predator interaction with the Holling type II functional response model. Is this refuge stabilizing or destabilizing the system? That is the central question of this study. The existence and stability of fixed points, Period-Doubling Bifurcation, Neimark–Sacker Bifurcation, the influence of prey refuge, and chaos are analyzed. This work provides the bifurcation diagrams and Lyapunov exponents to analyze the refuge parameter of the model. The proposed discrete model indicates rich dynamics as the effect of prey refuge through numerical simulations.G. S. MahapatraP. K. SantraEbenezer BonyahHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 G. S. Mahapatra P. K. Santra Ebenezer Bonyah Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
description	Prey-predator models with refuge effect have great importance in the context of ecology. Constant refuge and refuge proportional to prey are the most popular concepts of refuge in the existing literature. Now, there are new different types of refuge concepts attracting researchers. This study considers a refuge concept proportional to the predator due to the fear induced by predators. When predators increase, fears also increase and that is why prey refuges also increase. Here, we examine the influence of prey refuge proportional to predator effect in a discrete prey-predator interaction with the Holling type II functional response model. Is this refuge stabilizing or destabilizing the system? That is the central question of this study. The existence and stability of fixed points, Period-Doubling Bifurcation, Neimark–Sacker Bifurcation, the influence of prey refuge, and chaos are analyzed. This work provides the bifurcation diagrams and Lyapunov exponents to analyze the refuge parameter of the model. The proposed discrete model indicates rich dynamics as the effect of prey refuge through numerical simulations.
format	article
author	G. S. Mahapatra P. K. Santra Ebenezer Bonyah
author_facet	G. S. Mahapatra P. K. Santra Ebenezer Bonyah
author_sort	G. S. Mahapatra
title	Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
title_short	Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
title_full	Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
title_fullStr	Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
title_full_unstemmed	Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
title_sort	dynamics on effect of prey refuge proportional to predator in discrete-time prey-predator model
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/21c62578b8284c559ea23d8b49a43824
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Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model

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