4. The scientist adds a valve (or filter) to adjust the amount of nutrition disposal from the tank. Then, the equation has an additional control parameter w, and the equation reads as dtdNdtdC=1+CCNN=1+CCNwC+ where w[0,1], meaning that if w=0 no nutrition outflow, if w=1 then there is no nutrition filter. (a) Suppose that the scientist has parameters and fixed as in Table 1 and changes the parameter w slowly from w=1 to w=0. Check analytically if any transition occurs for the dynamics of the system near each steady state while w is decreasing from 1 to 0 . =1.28=16.39