With positive growth rate and capacity , the logistic model reduces per-capita growth as the population rises. Starting from , the population approaches . Its absolute growth rate peaks at , then slows; this is a continuous differential equation, not the discrete logistic map.在增长率 、容量 的 Logistic 模型中，数量越多，每个个体的增长贡献越小。从 出发，总量逐渐接近 。总量的增长速度在 时最大，此后减慢；这里讨论连续微分方程，不是离散的 Logistic 映射。
The green curve uses and . Gold marks the capacity, while the moving cyan tangent shows the instantaneous growth rate. The tangent steepens near half capacity and flattens as the curve approaches the upper line.绿色曲线取 、。金线标出容量，移动的青色切线表示瞬时增长速度。接近容量一半时，切线最陡；越接近上方金线，切线越平。