50.8. An alternate predator-prey model was suggested by Leslie: =F(abFc5) =S(e-4%)- The equation for the prey F is the same. However, the predators change in a di'erent manner. Show that if there are many predators for each prey, then the predators cannot cope with the excessive oornpetition for their prey and die off. On the other hand if there are many prey for each predator, then the predator will nd them and increase. Do you have any objections to this model ? Compare this model to the Lotka-Volterra model