Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane

Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane

We investigate the global dynamics of several anticompetitive systems of rational difference equations which are special cases of general linear fractional system of the forms ., where all parameters and the initial conditions are arbitrary nonnegative numbers, such that both denominators are posit...

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Main Authors: M. DiPippo, M. R. S. Kulenović
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/751594
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spelling doaj-44c630615e744e7e811459d764f6380f2020-11-24T21:47:51ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/751594751594Global Dynamics of Three Anticompetitive Systems of Difference Equations in the PlaneM. DiPippo0M. R. S. Kulenović1Department of Mathematics, Rhode Island College, Providence, RI 02881-0816, USADepartment of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USAWe investigate the global dynamics of several anticompetitive systems of rational difference equations which are special cases of general linear fractional system of the forms ., where all parameters and the initial conditions are arbitrary nonnegative numbers, such that both denominators are positive. We find the basins of attraction of all attractors of these systems.http://dx.doi.org/10.1155/2013/751594
collection DOAJ
language English
format Article
sources DOAJ
author M. DiPippo
M. R. S. Kulenović
spellingShingle M. DiPippo
M. R. S. Kulenović
Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
Discrete Dynamics in Nature and Society
author_facet M. DiPippo
M. R. S. Kulenović
author_sort M. DiPippo
title Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
title_short Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
title_full Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
title_fullStr Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
title_full_unstemmed Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
title_sort global dynamics of three anticompetitive systems of difference equations in the plane
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description We investigate the global dynamics of several anticompetitive systems of rational difference equations which are special cases of general linear fractional system of the forms ., where all parameters and the initial conditions are arbitrary nonnegative numbers, such that both denominators are positive. We find the basins of attraction of all attractors of these systems.
url http://dx.doi.org/10.1155/2013/751594
work_keys_str_mv AT mdipippo globaldynamicsofthreeanticompetitivesystemsofdifferenceequationsintheplane
AT mrskulenovic globaldynamicsofthreeanticompetitivesystemsofdifferenceequationsintheplane
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