Create a script to calculate rabbit and fox populations based on test case $4.$

Case $4.$ Adt a grouse population to the model.

Note on Case $4.$ Add grouse population

Assume that the grouse play the same role as the rabbits.

Assume that food supply for both rabbits and grouse is unlimited.

Assume that foxes do not prefer one prey over the other.

$g(t)$ : population of grouse

BRG$,$ birth rate of grouse

DRG$,$ death rate of grouse

EFG, effect of fox upon grouse

EGF, effect of grouse upon fox

Calculate the rabbit population $($rPop$)$ and fox population $($ fPop $)$ and grouse population $($ gPop $)$ as row vectors.

Plot the rabbit, fox, and grouse populations on a single plot. Include plot formatting $($axis labels, legend$).$

$\%$ Below are the parameters for your script.

$\%$ Try adjusting the parameters in MATLAB to see if the model behaves as you would predict. The parameters in MATLAB grader are locked.

GRR$=0\mathrm{.}4$; $\%$ Growth rate rabbit

EFR$=0\mathrm{.}032$; $\%$ Effect of fox on rabbit

GRG$=0\mathrm{.}4$; $\%$ Growth rate grouse

EFG$=0\mathrm{.}032$; $\%$ Effect of fox on grouse

GRF$=-1\mathrm{.}0$; $\%$ Growth rate fox

ERF$=0\mathrm{.}02$; $\%$ Effect of rabbit on fox

EGF$=0\mathrm{.}02$; $\%$ Effect of grouse on fox

tinit$=0.$;

tfinal$=60.$;

delt$=0\mathrm{.}05$;

rinit$=35$; $\%$ initial rabbit pop

ginit$=25$; $\%$ initial grouse pop

finit$=20$; $\%$ initial fox pop

Assessment:

Rabbit population is correct

Fox population is correct

Grouse population is correct

Plot is formatted properly