I am dealing with a equation system which includes two differential equations:
dx/dt=g*x*(1-x)-(alpha -beta*x*y)*x*y - (1-y)*gamma*x
Where x and y are functions of t; g, alpha, beta, rou, and gamma are known positive parameters.
We also know : 1>=x>=0, 1>=y>=0
What I really want is a graph to show the relationship of x and y in a x-y space. So numerical results is also good if theoretical one is not possible.
Can any one help me?