Please please answer both a and bThank you so much a) A colony of 1000 rabbits lives in a field that can support 5000 rabbits. After one month, the colonyreaches 1050 rabbits. Use the population model with carrying capacity to predict when (in terms of thenumber of months from now) the colony will have 2500 rabbits.Hint: First you have to use the given data to estimate the per capita birth rate r. To do so, you may usethe following logistic equation, which is the solution of the population model with carrying capacity:MP(0)Р() + (М — Р(0)е Митwhere again P(0) is the initial population and Mis the carrying capacity. After estimating r (this step iscalled model calibration), you can answer the question by again using EXCEL to plot of P(t) against tfor 48 months at the interval of 0.5 months. Then verify your answer by using the formula above.P(t) =b) Suppose the rabbit is additionally eaten by predators at the rate of 8% per month. Add thiscomponent to the model, re-simulate the system by EXCEL and then replot the graph of rabbitpopulation over time.Be sure to show your structural diagram (stock-flows diagram) for each problem.

Name: Please please answer both a and bThank you so much a) A colony of 1000
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Please please answer both a and bThank you so much a) A colony of 1000 rabbits lives in a field that can support 5000 rabbits. After one month, the colonyreaches 1050 rabbits. Use the population model with carrying capacity to predict when (in terms