When the daily intrinsic growth rate a is varied while other model parameters are fixed, the qualitative fundamental changes of the borders steadystate solution (sa/b, 0) are studied. This steadystate solution is stable if 1 2 e bN s a and d < eN1e provided s is a positive parameter and d is one of the model parameters. It passes through a bifurcation point 1 2 e bN a s and d = eN1e and is unstable if 1 2 e bN a s and d > eN1e
