One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. If P represents the number of female insects in a population, the number of sterile males introduced each generation, and the population€™s r s natural growth rate then the female population is related to time by

Suppose an insect population with 10,000 females grows at a rate r = 0.10 of and 900 sterile males are added. Evaluate the integral to give an equation relating the female population to time. (Note that the resulting equation can€™t be solved explicitly for P.)

Transcribed Image Text:

P +S J P[ -1)P - S] -dP