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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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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”. |
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| ISSN: | 1026-0226 1607-887X |