#1 (Mahaffy¹, #10 p. 188) Below are data on the population of a species of moth that inhabits an island and breeds annually (then dies). Suppose the population model has the form Pn = rPn-1 + μ where n is measured in years after 1990. That is, P₁ = population in 1990, P₁ = population in 1991, etc. a) From the data in the table below determine the updating function for this population, i.e., find r and μ. (Hint: Write two equations and solve for r and μ.) Year 1990 1991 1992 Moths 6000 5500 5100 b) Use the model to find the population of moths in 1993, 1994, and 1995.
#1 (Mahaffy¹, #10 p. 188) Below are data on the population of a species of moth that inhabits an island and breeds annually (then dies). Suppose the population model has the form Pn = rPn-1 + μ where n is measured in years after 1990. That is, P₁ = population in 1990, P₁ = population in 1991, etc. a) From the data in the table below determine the updating function for this population, i.e., find r and μ. (Hint: Write two equations and solve for r and μ.) Year 1990 1991 1992 Moths 6000 5500 5100 b) Use the model to find the population of moths in 1993, 1994, and 1995.
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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