Real populations grow exponentially only when resources are unlimited. Add a carrying capacity K and growth becomes logistic — it slows as N nears K and levels off. Adjust the intrinsic rate r and K.
── N(t) - - K (carrying capacity)
Try: on logistic, find the steepest part of the S-curve — it sits right at N = K/2, where dN/dt peaks. Then switch to exponential and watch the same r send N shooting past K with no ceiling.