Bifurcations and dynamics of a discrete predator–prey system

In this paper, we study the dynamics behaviour of a stratum of plant–herbivore which is modelled through the following F(x, y)=(f(x, y), g(x, y)) two-dimensional map with four parameters defined by [Image: see text] where x≥0, y≥0, and the real parameters a, b, r, k are all positive. We will focus o...

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Autor principal: Asheghi, Rasoul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2014
Materias:
Original Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220849/
https://www.ncbi.nlm.nih.gov/pubmed/24963984
http://dx.doi.org/10.1080/17513758.2014.927596
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author Asheghi, Rasoul
author_facet Asheghi, Rasoul
author_sort Asheghi, Rasoul
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description In this paper, we study the dynamics behaviour of a stratum of plant–herbivore which is modelled through the following F(x, y)=(f(x, y), g(x, y)) two-dimensional map with four parameters defined by [Image: see text] where x≥0, y≥0, and the real parameters a, b, r, k are all positive. We will focus on the case a≠b. We study the stability of fixed points and do the analysis of the period-doubling and the Neimark–Sacker bifurcations in a standard way.
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spelling pubmed-42208492014-11-17 Bifurcations and dynamics of a discrete predator–prey system Asheghi, Rasoul J Biol Dyn Original Articles In this paper, we study the dynamics behaviour of a stratum of plant–herbivore which is modelled through the following F(x, y)=(f(x, y), g(x, y)) two-dimensional map with four parameters defined by [Image: see text] where x≥0, y≥0, and the real parameters a, b, r, k are all positive. We will focus on the case a≠b. We study the stability of fixed points and do the analysis of the period-doubling and the Neimark–Sacker bifurcations in a standard way. Taylor & Francis 2014-01-01 2014-06-17 /pmc/articles/PMC4220849/ /pubmed/24963984 http://dx.doi.org/10.1080/17513758.2014.927596 Text en © 2014 The Author(s). Published by Taylor & Francis. http://creativecommons.org/licenses/by/3.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The moral rights of the named author(s) have been asserted.
spellingShingle Original Articles
Asheghi, Rasoul
Bifurcations and dynamics of a discrete predator–prey system
title Bifurcations and dynamics of a discrete predator–prey system
title_full Bifurcations and dynamics of a discrete predator–prey system
title_fullStr Bifurcations and dynamics of a discrete predator–prey system
title_full_unstemmed Bifurcations and dynamics of a discrete predator–prey system
title_short Bifurcations and dynamics of a discrete predator–prey system
title_sort bifurcations and dynamics of a discrete predator–prey system
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220849/
https://www.ncbi.nlm.nih.gov/pubmed/24963984
http://dx.doi.org/10.1080/17513758.2014.927596
work_keys_str_mv AT asheghirasoul bifurcationsanddynamicsofadiscretepredatorpreysystem

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