3. (Discrete Logistic Equation) Consider the following discrete-time dynamical system, which is called the discrete logistic equation and which models the size of a population over time: N, for t- o,1,2,. (a) (i) Find all equilibrium points and study their stability when R 0.5 and K = 100. (ii) Investigate the system when No 10 and describe what you see (you need to draw a chart describing the values of the sequence). (b) (0 Find all equilibrium points and study their stability when R -1.5 and K (ii) Investigate the system when No 10 and describe what you see (you (c) (i) Find all equilibrium points and study their stability when R-2.5 and K (ii) Investigate the system when No 10 and describe what you see (you 100. need to draw a chart describing the values of the sequence). 100 need to draw a chart describing the values of the sequence).