BIOL 230 Lecture Notes - Lecture 10: Exponential Growth, Logistic Function, Exponential Function
Document Summary
Wh(cid:455) don"t populations e(cid:454)pand infinitel(cid:455): they run out of resources. Animals food such as other animals, plant parts. Plants food such as n, p, k, water, light. Features of the environment that are short in supply and. Are required for growth, survival, or reproduction, and. Can be consumed to point of depletion. Physical conditions affect population growth rates but are not consumed or depleted ex. Carrying capacity (k) is when dn/dt/0 = 0. dn/dt/n = r(1-n/k) dn/dt = rn(1- n/k) The logistic equation is a modification of the exponential equation: per capita growth rates now have density dependence. In exponential growth, per capita growth rate = r. dn/dt = r(k-n)*n/k. In logistic growth, per capita growth rate = r(k-n)/k. R car is accelerating (k-n) is when car is stopping. ** know how to switch between the 3 diff graphs ** (n vs. t; dn/dt/n vs. n; dn/dt vs. n)
