Determine a mathematical model that has 3 first-order differential equations for the paragraph below. Use the following:

x(t) is the population of a predator

y(t) and z(t) are the populations of 2 animals that are the predator's prey

"We know the predator population grows from eating its prey (the 2 animals). Also, it does not have any enemies. Hence, it only declines as a result of natural deaths. Also, if there were not predator, the prey population would grow at an exponential rate. Further, if there were not predator, we know that the prey population would grow at a logistic rate"