Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey

This paper presents the dispersal effect on a prey-predator model with three-patch states incorporating a strong Allee effect on the first two prey populations. The prey species are considered to be mutable to exhibit a balanced dispersal between the patches. The dispersal among patches is directed...

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Main Authors: S. Biswas, D. Pal, P. K. Santra, Ebenezer Bonyah, G. S. Mahapatra
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2022/7919952
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author S. Biswas
D. Pal
P. K. Santra
Ebenezer Bonyah
G. S. Mahapatra
author_facet S. Biswas
D. Pal
P. K. Santra
Ebenezer Bonyah
G. S. Mahapatra
author_sort S. Biswas
collection DOAJ
description This paper presents the dispersal effect on a prey-predator model with three-patch states incorporating a strong Allee effect on the first two prey populations. The prey species are considered to be mutable to exhibit a balanced dispersal between the patches. The dispersal among patches is directed through lower fit patches to higher fit patches. This paper derives a new approach for dispersal and Allee’s effect with the specific condition on the stability on a three-patch of a three-species prey-predator anticipated system. The persistence of the system is observed because of the dispersal effect on the three-patch prey-predator system. The numerical simulations of analytical findings are presented using hypothetical parameter values to relate real-world prey-predator situations for balancing ecology.
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institution OA Journals
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publishDate 2022-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-40d0e35e10594ff89ccbe14fd89342f72025-08-20T02:07:51ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/7919952Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double PreyS. Biswas0D. Pal1P. K. Santra2Ebenezer Bonyah3G. S. Mahapatra4Department of MathematicsIndian Institute of Engineering and Science and TechnologyMaulana Abul Kalam Azad University of TechnologyDepartment of Mathematics EducationDepartment of MathematicsThis paper presents the dispersal effect on a prey-predator model with three-patch states incorporating a strong Allee effect on the first two prey populations. The prey species are considered to be mutable to exhibit a balanced dispersal between the patches. The dispersal among patches is directed through lower fit patches to higher fit patches. This paper derives a new approach for dispersal and Allee’s effect with the specific condition on the stability on a three-patch of a three-species prey-predator anticipated system. The persistence of the system is observed because of the dispersal effect on the three-patch prey-predator system. The numerical simulations of analytical findings are presented using hypothetical parameter values to relate real-world prey-predator situations for balancing ecology.http://dx.doi.org/10.1155/2022/7919952
spellingShingle S. Biswas
D. Pal
P. K. Santra
Ebenezer Bonyah
G. S. Mahapatra
Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
Discrete Dynamics in Nature and Society
title Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
title_full Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
title_fullStr Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
title_full_unstemmed Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
title_short Dynamics of a Three-Patch Prey-Predator System with the Impact of Dispersal Speed Incorporating Strong Allee Effect on Double Prey
title_sort dynamics of a three patch prey predator system with the impact of dispersal speed incorporating strong allee effect on double prey
url http://dx.doi.org/10.1155/2022/7919952
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