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To get a heuristic impression of why oscillations occur for the discrete models [Eqs. (1-25) and (1-26)], notice that the net per capita growth rate r ¼ rðPn Þ in Eq. (1-25) uses current population size to predict growth during the next generation. As changes in population size occur only at designated, equally spaced time intervals, there is a lag that may cause overshooting or undershooting, similar to the inertial effect in physical systems. Mathematically, the following argument provides quantitative insight.

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