The logistic equation assumes that the per capita growth rate increases with increasing density. density-dependent factors do not regulate population growth. the per capita growth rate is a constant. density-dependent factors are regulating population growth.Textbook Reference: Concept 10.5 The logistic equation incorporates limits to growth and shows how a population may stabilize at a maximum size, the carrying capacity A continuously growing population of bears has a population size of 500 and its intrinsic rate of increase is r = 0.07 per year. Assuming that this rate of increase remains the same, about how long should it take for the population to reach 1,000?