Consider a lake that is stocked with walleye pike and where population of pike is governed by the logistic equation p0 = 0.1p ✓ 1 p 10 ◆ where time is measured in days and p in thousands of (sh. suppose that (shing is started in this lake and that 100 (sh are removed each day. (a) modify the logistic model to accurately account for the (shing. (b) find and classify the equilibrium points for your model. (c) use qualitative analysis to discuss the fate of the (sh population with this model, in particular if p(0) = 1 and if p(0) = 2 (again in thousands of (sh).