At a certain time the hunting of squirrels become permitted and the law allows that a certain percentage a of the squirrel population be eliminated every year. A new equation for the squirrel population is then dP P = 2P (1-) (P-1)-aP dt 2 The IALS (International Association for the Liberation of Squirrels) asserts than no more than 10% of squirrels should be eliminated every year (i.e a = 0.1), otherwise the population would go extinct. On the contrary the UHA (United Hunters of America) asserts that it is safe to hunt half of the squirrel population every year (i.e. a = 0.5). Analyze the systems as a varies and determine who is right from the IALS or the UHA.