申論題

1. Considering two species, snowshoe hare and Canada lynx, and the lynxes prey on the hares. Hares have unlimited food supply and to reproducc exponentially, unless subject to predation. The growth rate of the hare is proportional to the population of the hare with the growth rate cocfficient α. The rate of predation upon the hares is assumed to be proportional to the rate at which the lynxes and the hares meet. It is proportional to the product of the lynx and hare populations with a positive coefficientβ. The growth rate of the lynx is proportional to the predation with a positive coefficient γ. The death rate of the lynx is proportional to its population with the death rate coefficient ε.