Question

Solve the below Science Model problem in MATLAB

There are 2500 frogs living in an ‘army’ of frogs in Lake Murray, SC, on June 1, 2016. The frogs reproduce at a rate of 6.3% per week and die of natural causes at a rate of 1.8% per week. Natural predators eat an additional 75 frogs at the end of each week. (NOTE: This is a second ‘death rate’).

To limit spreading the mosquito carried Ziki virus, at the end of the 12th week (late-August), the SC State government sprays/fogs a chemical on Lake Murray’s shoreline to eliminate flies, gnats, and mosquitoes. As a result, the frogs’ main source of food is killed and causes many frogs to die of starvation. This increases, the frogs’ natural death rate from 1.8% per week, to 15.5% per week.

Question 1: Question 2:

How many frogs are alive in Lake Murray on September 30, 2016 (that is, after 16 weeks have passed)?

Construct a plot showing the variation of the frog population vs. time (frog population will be on the “y axis” and time, weeks 1-17, will be on the “x axis”)

PLEASE, NO Franken Frogs!

Answer 1