Here x is the size of the population at a given time, r is the inherent per-capita growth rate, and K is the carrying capacity. However, as the population reaches its maximum (the carrying capacity), ...Here x is the size of the population at a given time, r is the inherent per-capita growth rate, and K is the carrying capacity. However, as the population reaches its maximum (the carrying capacity), intraspecific competition becomes fiercer and the per capita growth rate slows until the population reaches a stable size. At the carrying capacity, the rate of change of population density is zero because the population is as large as possible based on the resources available.
However, as the population reaches its maximum (the carrying capacity), intraspecific competition becomes fiercer and the per capita growth rate slows until the population reaches a stable size. At th...However, as the population reaches its maximum (the carrying capacity), intraspecific competition becomes fiercer and the per capita growth rate slows until the population reaches a stable size. At the carrying capacity, the rate of change of population density is zero because the population is as large as possible based on the resources available.