Consider the Lotka-Volterra predator-prey model defined by dx/dt = 20.1x + 0.02xy dy/dt = 0.2y - 0.025xy,

Question:

Consider the Lotka-Volterra predator-prey model defined by

dx/dt = 20.1x + 0.02xy

dy/dt = 0.2y - 0.025xy,

where the populations x(t) (predators) and y(t) (prey) are measured in thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t). Use the graphs to approximate the time t > 0 when the two populations are first equal. Use the graphs to approximate the period of each population.