Population Modelling:

a) The simplest model of population growth is: X_n+1= R₀X_n

_{where R0=annual growth rate, and Xn= population of some group of organisms in year number m}

_{a) If R0=1.2 for foxes and there are 2000 foxes in year zero how long is It before foxes weigh as much as earth?}

_{b) If R0=0.5, for foxes, and there are 2000 foxes in year zero, what happens as time progresses?}

_{c) Generalize your results. The behaviour of this model divides into three qualitatively different regimes for low, middle, and high values of R0. What are the values of R0 that produce these three qualitatively different outcomes at long times and why?}