There is considerable evidence to support the theory that for some species there is a minimum population m such that the species will become extinct if the size of the population falls below m this condition can be incorporated into the logistic equation by introducing the factor(1-(m/p)) thus the modified logistic model is given by the differential equationdp/dt = kp (1- (p/k)) (1-(m/p))where k is a constant and k is the carrying capacity. suppose that the carrying capacity k = 1 the minimum population m = 800 and the constant k = 0.05