Question: This Should be done using only a working Matlab Code, written or screenshot. Thanks in advance HOMEWORK 9 EXERCISE 2 (5 pts) RABBITS IN THE

This Should be done using only a working Matlab Code, written orThis Should be done using only a working Matlab Code, written or screenshot. Thanks in advance

HOMEWORK 9 EXERCISE 2 (5 pts) "RABBITS IN THE CARIBBEAN" Consider an isolated rabbit population on a tropical Caribbean island. The rabbits have no natural predators and plenty of food to eat. At the beginning of year 1 there are 100 rabbits living on the island; their birth rate is 6% per year with negligible death rate. However, whenever the total rabbit population exceeds 300 during a year, a deadly disease outbreak occurs immediately, and reduces the rabbit population by 80%. That is, this disease strikes when the computed population for the next year will exceed 300. [Hint: When the disease causes 80% death in the population, that means that ONLY 20% rernain. So it can be written as P (t +1) P (t+1) (1-0 . 80) It is suggested to NOT do the math'and write: P(t+1)-P(t+1) * (0.20) Or better yet, put the death.hvdisease factor in as a variable.] Problem: How many rabbits are living on this island after 75 years have passed (i.e., at the beginning of year 76)? Provide a plot of the rabbit population as a function of time for the 75-year period

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