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In WS 11, you derived a model for the deer population that incorporated births, deaths, and immigration. The model is given by Pn+1 = current population - deaths of adults + surviving offspring + immigrating deer =Pn -0.05pn +0.15pm + 100 = 1.1pm + 100 a) Write the explicit solution to this DDS. Pn= b) Suppose there are 200 deer in this forest in the year 2020. Calculate the size of the deer population in the year 2023, using both the recursive and the explicit forms. What does n = 0 represent?

In WS 11, you derived a model for the deer population that incorporated births, deaths, and immigration. The model is given by Pn+1 = current population - deaths of adults + surviving offspring + immigrating deer =Pn -0.05pn +0.15pm + 100 = 1.1pm + 100 a) Write the explicit solution to this DDS. Pn= b) Suppose there are 200 deer in this forest in the year 2020. Calculate the size of the deer population in the year 2023, using both the recursive and the explicit forms. What does n = 0 represent?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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# 3 In WS 11, you derived a model for the deer population that incorporated births, deaths, and immigration. The model is given by Pn+1 = current population - deaths of adults + surviving offspring + immigrating deer = Pn -0.05pn +0.15pm + 100 = 1.1pm + 100 a) Write the explicit solution to this DDS. Pn= b) Suppose there are 200 deer in this forest in the year 2020. Calculate the size of the deer population in the year 2023, using both the recursive and the explicit forms. What does n = 0 represent? c) What happens to this population in the long run? Is there a stable equilibrium that the population converges to?
Transcribed Image Text:# 3 In WS 11, you derived a model for the deer population that incorporated births, deaths, and immigration. The model is given by Pn+1 = current population - deaths of adults + surviving offspring + immigrating deer = Pn -0.05pn +0.15pm + 100 = 1.1pm + 100 a) Write the explicit solution to this DDS. Pn= b) Suppose there are 200 deer in this forest in the year 2020. Calculate the size of the deer population in the year 2023, using both the recursive and the explicit forms. What does n = 0 represent? c) What happens to this population in the long run? Is there a stable equilibrium that the population converges to?
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