(Solved): Consider the predator-prey model where b=0. Determine the constant coefficient linear system of ...

Consider the predator-prey model where $$b?=0$$. Determine the constant coefficient linear system of differential equations which governs the small displacements from the equilibrium populations, $$F=\frac{k}{?},S=\frac{a}{c}?\frac{bk}{c?}>0$$ Do this in two ways: a. Using the Taylor series for a function of two variables. b. Using perturbation methods as described in Section 50 . Show that the two are equivalent. Do not attempt to solve the resulting system. (Hint: see Problem \#5 for the answer.)