provide the python code for the following predator prey model that plots phase portrait:

x$=$x$^(1$x$)$xy$,$ y$=$y$($x$$a$),$

where x$>=0$ is the population of prey, y $>=0$ is the population of predator $($where both variables are measured in thousands$),$ and a$>=0$ is a control parameter.

In the absence of predators, plot the prey population equation in the x$-$ x plane and describe its growth for small and large x$.$