Let P(t) be the number of individuals in a population at time t, measured in years. If
Chapter 5, Problem 5.8.4(choose chapter or problem)
Let P(t) be the number of individuals in a population at time t, measured in years. If the average birth rate b is constant and the average death rate d is proportional to the size of the population (due to overcrowding), then the growth rate of the population is given by the logistic equation d P(t) dt = bP(t) k[P(t)] 2 , where d = k P(t). Suppose P(0) = 50, 976, b = 2.9102, and k = 1.4107. Find the population after five years.
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