Global Behavior of a Discrete Anticompetitive System in the Plane
The main goal of this paper is to investigate the global asymptotic behavior of the difference system xn+1=γ1yn/A1+xn, yn+1=β2xn/B2+yn, n=0,1,2,…. with γ1,β2,A1,B2∈(0,∞) and the initial condition (x0,y0)∈[0,∞)×[0,∞). We obtain some global attractivity results of this system for different values of...
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Hindawi Limited
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/7825631 |
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doaj-10fc66a5e5ad41e5a04de185389e17572020-11-24T22:12:41ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/78256317825631Global Behavior of a Discrete Anticompetitive System in the PlaneLin-Xia Hu0Department of Mathematics, Tianshui Normal University, Tianshui 741001, Gansu, ChinaThe main goal of this paper is to investigate the global asymptotic behavior of the difference system xn+1=γ1yn/A1+xn, yn+1=β2xn/B2+yn, n=0,1,2,…. with γ1,β2,A1,B2∈(0,∞) and the initial condition (x0,y0)∈[0,∞)×[0,∞). We obtain some global attractivity results of this system for different values of the parameters, which answer the open problem proposed in “Rational systems in the plane, J. Difference Equ. Appl. 15 (2009), 303-323”.http://dx.doi.org/10.1155/2019/7825631 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lin-Xia Hu |
| spellingShingle |
Lin-Xia Hu Global Behavior of a Discrete Anticompetitive System in the Plane Discrete Dynamics in Nature and Society |
| author_facet |
Lin-Xia Hu |
| author_sort |
Lin-Xia Hu |
| title |
Global Behavior of a Discrete Anticompetitive System in the Plane |
| title_short |
Global Behavior of a Discrete Anticompetitive System in the Plane |
| title_full |
Global Behavior of a Discrete Anticompetitive System in the Plane |
| title_fullStr |
Global Behavior of a Discrete Anticompetitive System in the Plane |
| title_full_unstemmed |
Global Behavior of a Discrete Anticompetitive System in the Plane |
| title_sort |
global behavior of a discrete anticompetitive system in the plane |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2019-01-01 |
| description |
The main goal of this paper is to investigate the global asymptotic behavior of the difference system xn+1=γ1yn/A1+xn, yn+1=β2xn/B2+yn, n=0,1,2,…. with γ1,β2,A1,B2∈(0,∞) and the initial condition (x0,y0)∈[0,∞)×[0,∞). We obtain some global attractivity results of this system for different values of the parameters, which answer the open problem proposed in “Rational systems in the plane, J. Difference Equ. Appl. 15 (2009), 303-323”. |
| url |
http://dx.doi.org/10.1155/2019/7825631 |
| work_keys_str_mv |
AT linxiahu globalbehaviorofadiscreteanticompetitivesystemintheplane |
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1725802796145442816 |