when rabbits and sheep encounter each other trouble starts. sometimes the rabbits gets to eat ,but more usually the sheep nudges and the rabbit aside and starts nibbling (on the grass that is). we will assume that these conflicts occur at the rate proportional to the size of each population. (if there were twice as many sheep, the odds of rabbit encountering a sheep would be twice as great). further more we assume that conflicts reduce the rate of growth rate for each species, but the effect is more severe for rabbits. a specific model that incorporates these assumptions is x^1=x(3-x-2y) ,y^1=y(2-x-y) where x(t)=population of rabbits ,y(t)=population of sheep and x, y>0. considering above model determine :1) fixed points of the non linear model and classify them, 2) draw the phase portraits corresponding to each fixed point. 3) by considering the above interaction what do you understand by principle of competitive exclusion. comment basing your argument on the above rabbit and sheep interaction