Consider the following $4-$state population model: X$($t$)=0\mathrm{.}001$X$($t$)0\mathrm{.}05$Y $($t$)$Y $($t$)=70\mathrm{.}1$Y $($t$)7+$X$($t$0\mathrm{.}5)$Z$($t$)=$ K$($t $1)101024+$ K$($t $1)10$K$($t$)=$ Z$($t$)121+$ Z$($t$)12$a$)$ Draw the feedback $($cause$/$effect$)$ diagram for the model shown above. For each link in your diagram, indicate clearly to which term in the equations is corresponds.b$)$ Identify all the feedback loops in this model and determine whether they are positive or negative feedback loops. For each loop, explain whether you would expect it to exhibit oscillatory behavior.c$)$ For a feedback loop that does not have oscillation in your answer in part b$),$ which parameters would you adjust for it to begin oscillating? And how would you stop the oscillation in a feedback loop that is already oscillating?