There are initially 500 rabbits (x) and 200 foxes (y). Plot the number of rabbits and foxes as a function of time for a period of up to 500 days. The predator-prey relationship is given by the following coupled ODEs: dx/dt = k1x − k2xy
dy/dt = k3xy − k4y
Constant for growth for rabbits k1 = 0.02/day-1.
Constant for death of rabbits k2 = 0.00004/(day∙number of foxes).
Constant for growth of foxes after eating rabbits k3 = 0.0004/(day∙number of rabbits).
Constant for death of foxes k4 = 0.04/day-1.
What happens if k3=0.00004/day and t=800 days?