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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/751594 |
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| author | M. DiPippo M. R. S. Kulenović |
| author_facet | M. DiPippo M. R. S. Kulenović |
| author_sort | M. DiPippo |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-44c630615e744e7e811459d764f6380f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-44c630615e744e7e811459d764f6380f2025-02-03T05:57:52ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/751594 |
| work_keys_str_mv | AT mdipippo globaldynamicsofthreeanticompetitivesystemsofdifferenceequationsintheplane AT mrskulenovic globaldynamicsofthreeanticompetitivesystemsofdifferenceequationsintheplane |