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biosim4 - Nonlinear Discrete Equation Read Chapter 2.1 ~...

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Nonlinear Discrete Equation Read: Chapter 2.1 ~ 2.5 Chapter 2.1 2.5 Mathematical Models in Biology (2005) Leah Edelstein-Keshet (2005), Leah Edelstein-Keshet
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Definition A nonlinear difference equation takes the form f( ) Only now the recursion function x n+1 = f(x n , x n-1 , …) depends nonlinearly on its arguments. For nonlinear discrete equations, analytical solutions can only be found in rare cases.
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How Do Solutions Behave? • Equilibrium points (steady states) and Equilibrium points (steady states) and their stability provide information about the behavior of the solutions the behavior of the solutions.
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