Start with logistic population dynamics (which can't overshoot) but then add delay in the "feedback signal" (the approach to the carrying capacity). One species, able to exploit one resource, which is available at a fixed, finite, flow (not a depleting stock). At low populations, growth is exponential. As long as population below carrying capacity, growth continues. Without delay, it will smoothly stabilize at the carrying capacity. But with delay, it will overshoot; but oscillation should dampen, so eventually still stabilizes. Similar dynamics. "from above" (if, e.g., "initial" population somehow above carrying capacity; or, more plausibly, if carrying capacity dynamically falls to some lower level). With more delay, get more extreme overshoot. In "extreme" cases (relatively large delay, large overshoot) we can note asymmetry in "boom" and "bust" - bust is more rapid. This can be interpreted as a very simple version of Bardi's Seneca Cliff.