Demographic Modeling Consider a model for the agestructure of a population of juveniles J, young adults Y, and full adults F: J(t + 1) 0 by bp .101) Y(t 1) = m s 0 Y(t) (3) F(t 1) 0 m s F(t) 11. Draw a ow diagram for this population model. 12. What is the name that researchers give to the matrix in Equation (3)? 13. Code up this model so that you can iterate for 50 generations, starting from J (O) = 100 juveniles and zero young adults or full adults. Assume that both birth rates are 1 juvenile per adult per time, and that 25% of juveniles and young adults mature per time step, and 50% of adults survive per time step.1 Make a plot of 50 generations with Juveniles in black, Young adults in red, and Full adults in orange. Don't forget to label your plot. 14. What does your plot tell you about the eigenvalues of the matrix? 15. Now increase the birth rate to 1.5 per adult per time, and attach a new plot. What do you observe, and what does this tell you about the eigenvalues of the matrix? 16. Using np.linalg.eig(), compute both \"leading\" eigenvalues in the two previous question to conrm your previous answers. What are those eigenvalues? 17. If these were endangered whales, and you were a conservation ecologist, would it be better to have a stable or unstable equilibrium? 18. Finally, explain the difference in how eigenvalues relate to stability for discrete-time vs continuous- time models