Equation 5.5 clearly demonstrates that the discrete logistic is a nonlinear equation; in particular it is a quadratic equation, indicated by the presence of Nt2. Its full title is a first-order nonlinear difference equation. It is first order because it relates values at time t + 1 to the previous time points (t). A second-order difference equation would relate values at time t + 1 to the previous two time points (t and t - 1). It is the non-linear component that gives this and similar equations (May 1976) some fascinating properties which we will now explore.
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