Question

In a wildlife reserve a nonindigenous bird endangers the other birds. To control this pest, a scientific study is made of their population growth for the unwelcome visitors, and it is found that dN d(360-9N)N E where N(t) represents the estimated population and t is the time measured in years. The manager of the reserve is considering allowing controlled hunting of E birds annualy to limit the pest. . Determine the critical value F, of harvesting such that if E>F then show that for any initial population size the population will become extinct in a finite time. If E 2700 birds per year then draw a quantitative graph of N as a function of t to show the different possibilities for different initial population size. 4000 birds per year and the initial population size is 400 then calculate the extinction time T, for these birds.

Please provide an easy to follow answer to parts a,b and c of the question. Thanks

Answer 1

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