Answer Happy

This is my third time posting this question please read thequestions (part 1 and part 2) carefully and answer withexplanation, do not paste a different solution from anotherproblem
1) i= −yI+U BSI N 2) Q=-U-7Q | = infected Q = quarantine B = transmission y = recovery S = susceptible N = total population At the start S=N The value of ß = 0.2 and y = 0.1 At any given time, a change is made by identifying U = -al individuals for removing from I and moving them to quarantine Q, where a is the rate of Quarantine and test Part 1) Determine the transfer function I/U (infection & quarantine dynamic) and is this system stable? Provide explanation S+Z Part 2) Design a lead compensator U = K to stable the infection with a bandwidth of 2 or S+P higher.