Create a script to calculate rabbit and fox populations based on test case $3.$

Case $3.$ Rabbits limited by food supply.

Note on Case $3.$ Growth rate of

rabbits with limited food supply

Growth rate of rabbits, grr$,$ vs$.$ number of

rabbits, $r$

rMax is the regional carrying capacity for

rabbits

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

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

Click the run button to test your code output using the provided script

Click the submit button to have your work assessed.

You have a $4$ submission limit$.$

$\%$ 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.

rMax$=100$; $\%$ Maximum rabbits environment can support

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

EFR$=0\mathrm{.}032$; $\%$ Effect of foxes on rabbits

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

ERF$=0\mathrm{.}02$; $\%$ Effect of rabbits on foxes

tinit$=0.$;

tfinal$=60.$;

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

rinit$=30$;

finit$=20$;

Rabbit population is correct

Fox population is correct

Rabbit and fox population plots are properly formatted