[18-20] Suppose a species of frog and cricket are related to each other without influence of any other species interactions. The frog is an active predator and actively forages for the cricket.

For the cricket, the intrinsic growth rate is 100 and the carrying capacity of the environment is 200,000 individuals. For the frog, the capture efficiency is 0.0002, the conversion efficiency is 0.1, the handling time per cricket is 0.2 hours, and the density-independent per capita death rate of the predator is 0.4.

At what value of the number of crickets is the predator population of frogs at equilibrium?

What is the dN/dt of the prey population when the number of frogs is 60 and the number of crickets is 11,000? Round to the nearest hundredth.

What is the dP/dt of the predator population when the number of frogs is 60 and the number of crickets is 11,000? Round to the nearest hundredth.