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- W2611084776 abstract "Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. The local stability of these equilibria was analyzed which led to nine regions in the parameters space. The solution of the system converged to the equilibria or the boundary point <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mo stretchy=false>(</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant=normal>∞</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant=normal>0</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> or <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mo stretchy=false>(</mml:mo><mml:mn mathvariant=normal>0</mml:mn><mml:mo>,</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant=normal>∞</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> in each region depending on nonnegative initial conditions. These results completely described the behavior of the system." @default.
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- W2611084776 date "2017-01-01" @default.
- W2611084776 modified "2023-09-30" @default.
- W2611084776 title "Global Dynamics of Rational Difference Equations xn+1=xn+xn-1/q+ynyn-1 and yn+1=yn+yn-1/p+xnxn-1" @default.
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- W2611084776 doi "https://doi.org/10.1155/2017/1295089" @default.
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