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
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Chapter2: Second-order Linear Odes
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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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