THIS IS A MATLAB PROGRAM THANKS !!!

Population biologists study animal populations in the wild by collecting population data, demographics and variation over time. These data enable them to construct models of target populations, and to study the effect of various beneficial and detrimental events on these populations. In the problem that follows, construct MATLAB models of each population scenario using the compute/correct method discussed in class to apply necessary population corrections when needed.

PROBLEM STATEMENT:

A wolf pack in Yellowstone National Park numbers 65 total wolves. The packs natural birth rate is 6.5%; their natural death rate is 3.2%. At the end of every even numbered year after year 1, a deadly bacterial infection strikes the pack and instantly reduces its population by 75%. Luckily, at the end of every odd numbered year after year 1, 22 wolves from neighboring Idaho wander into Yellowstone National Park. Upon arriving, they permanently join the existing Yellowstone pack.

How many total wolves comprise the Yellowstone wolf pack at the beginning of year 22? (NOTE: WHOLE WOLVES, NOT FRACTIONALWOLVES!)

Construct a plot of the size of the Yellowstone wolf pack over time (i.e., plot the population vs.time, for years122).

What do you notice about the Yellowstone wolf packs size as a function of time? Is it growing, decaying or doing somethingelse?

Construct a new, second model such that the deadly bacterial infection strikes the wolf pack only at the end of every sixth year.

Construct a second plot of the packs size vs.time for this newmodel.

Compare this second plot with the first plot and discuss the difference(s) betweenthem.