P + S dP P[(r – 1)P – s]
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, S the number of sterile males
introduced each generation, and r the population’s natural
growth rate, then the female population is related to time t
by equation given at the end.
Suppose an insect population with 10,000 females grows at
a rate of r = 0.10 and 900 sterile males are added. Evaluate
the
to time. (Note that the resulting equation can’t be
solved explicitly for P.)
![P + S
dP
P[(r – 1)P – s]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4439f2ed-95eb-4def-9b5d-47e9b5eebd32%2Fccc0dd7c-9952-4733-999c-0b2ccc4c8eb9%2Fz6uc77q.png&w=3840&q=75)
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