Write down on paper an affine discrete-time population cohort model (similar to the ones we discussed in class) which has the following features: There are six age cohorts. Only the middle four age cohorts reproduce, and they do so at rates 11, 12, 13, 14 (all positive). The first age cohort has survival rate 99%; all others (except the last of course) have survival rate 100%. There is an net influx of population (e.g., immigration) at a rate B, which is uniformly distributed in all age cohorts. Please be neat about it and explain your variables, etc. You wouldn't want to have to analyze this system here by hand -- that would be too difficult. However, knowing what you know about such population models, how would you proceed with analyzing the long-term behavior. Please explain below -- not on paper -- what steps you would take to determine the behavior of this model, and what you expect that analysis to reveal. Write down on paper an affine discrete-time population cohort model (similar to the ones we discussed in class) which has the following features: There are six age cohorts. Only the middle four age cohorts reproduce, and they do so at rates 11, 12, 13, 14 (all positive). The first age cohort has survival rate 99%; all others (except the last of course) have survival rate 100%. There is an net influx of population (e.g., immigration) at a rate B, which is uniformly distributed in all age cohorts. Please be neat about it and explain your variables, etc. You wouldn't want to have to analyze this system here by hand -- that would be too difficult. However, knowing what you know about such population models, how would you proceed with analyzing the long-term behavior. Please explain below -- not on paper -- what steps you would take to determine the behavior of this model, and what you expect that analysis to reveal