In the Lotka-Volterra predator-prey model dx/dt=-ax +bxy, dy/dt=ey-cxy where x(t) is the predator population as well as y(t) is the prey population, explain what does the coefficient c represent?
A) the predator die-off rate
B) the prey growth rate
C) the increase in the predator population due to interactions with the prey
D) the decrease in the prey population due to interactions with the predator