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- W2955703934 abstract "In the proposed work, global dynamics of a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mn mathvariant=normal>3</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant=normal>6</mml:mn></mml:math> system of rational difference equations has been studied in the interior of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn mathvariant=normal>3</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math>. It is proved that system has at least one and at most seven boundary equilibria and a unique <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:math> equilibrium under certain parametric conditions. By utilizing method of Linearization, local dynamical properties about equilibria have been investigated. It is shown that every <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:math> solution of the system is bounded, and equilibrium <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> becomes a globally asymptotically stable if <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>1</mml:mn></mml:mrow></mml:msub><mml:mo><</mml:mo><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>4</mml:mn></mml:mrow></mml:msub><mml:mo><</mml:mo><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>5</mml:mn></mml:mrow></mml:msub></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>7</mml:mn></mml:mrow></mml:msub><mml:mo><</mml:mo><mml:msub><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>8</mml:mn></mml:mrow></mml:msub></mml:math>. It is also shown that every <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mo>+</mml:mo><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:math> solution of the system converges to <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M9><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. Finally theoretical results are verified numerically." @default.
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- W2955703934 date "2019-07-01" @default.
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- W2955703934 title "Global Dynamics of a 3 × 6 System of Difference Equations" @default.
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