Create a script to calculate rabbit and fox populations based on test case $1.$ Case $1.$ Base rabbit$-$fox model. Influence

of initial conditions.

Case $2.$ Find initial conditions that

maintain steady population

levels.

Case $3.$ Rabbits limited by food supply.

Case $4.$ Adt a grouse population to the

model. Rabbit population is correct

Fox population is correct

Plot is properly formatted

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 is a script that will execute and plot your function for the given sample parameters.

$\%$ 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 $($dr$/$dt$)$

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

ERF$=0\mathrm{.}02$; Effect of rabbit on fox $($df$/$dt$)$

tinit$=0.$;

tfinal$=60.$;

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

rinit $=30$;

finit $=20$;