3. Some populations (such as algae and bacteria) produce waste products, which in high concentrations are toxic to the population itself. A mathematical model for a population x(1) and a toxic waste product y(t) is dx =(a -B- Ky)x, %3D dt (5) dy = yx - Sy, dt where a, B, y, o and K are positive constants. (iii) Calculate all steady states in model (5) and state all conditions on parameters for the steady states to be biologically relevant. [6 marks]