Global Stability of Predator-Prey System with Alternative Prey

A predator-prey model in presence of alternative prey is proposed. Existence and local stability conditions for interior equilibrium points are derived. Global stability conditions for interior equilibrium points are also found. Bifurcation analysis is done with respect to predator's searching...

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Detalles Bibliográficos
Autor principal: Sahoo, Banshidhar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2012
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4403593/
https://www.ncbi.nlm.nih.gov/pubmed/25969782
http://dx.doi.org/10.5402/2013/898039
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author Sahoo, Banshidhar
author_facet Sahoo, Banshidhar
author_sort Sahoo, Banshidhar
collection PubMed
description A predator-prey model in presence of alternative prey is proposed. Existence and local stability conditions for interior equilibrium points are derived. Global stability conditions for interior equilibrium points are also found. Bifurcation analysis is done with respect to predator's searching rate and handling time. Bifurcation analysis confirms the existence of global stability in presence of alternative prey.
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spelling pubmed-44035932015-05-12 Global Stability of Predator-Prey System with Alternative Prey Sahoo, Banshidhar ISRN Biotechnol Research Article A predator-prey model in presence of alternative prey is proposed. Existence and local stability conditions for interior equilibrium points are derived. Global stability conditions for interior equilibrium points are also found. Bifurcation analysis is done with respect to predator's searching rate and handling time. Bifurcation analysis confirms the existence of global stability in presence of alternative prey. Hindawi Publishing Corporation 2012-08-08 /pmc/articles/PMC4403593/ /pubmed/25969782 http://dx.doi.org/10.5402/2013/898039 Text en Copyright © 2013 Banshidhar Sahoo. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Sahoo, Banshidhar
Global Stability of Predator-Prey System with Alternative Prey
title Global Stability of Predator-Prey System with Alternative Prey
title_full Global Stability of Predator-Prey System with Alternative Prey
title_fullStr Global Stability of Predator-Prey System with Alternative Prey
title_full_unstemmed Global Stability of Predator-Prey System with Alternative Prey
title_short Global Stability of Predator-Prey System with Alternative Prey
title_sort global stability of predator-prey system with alternative prey
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4403593/
https://www.ncbi.nlm.nih.gov/pubmed/25969782
http://dx.doi.org/10.5402/2013/898039
work_keys_str_mv AT sahoobanshidhar globalstabilityofpredatorpreysystemwithalternativeprey

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