Maths Pro 2007

Maths Pro 2007 - Creating Logistic model Description A...

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Creating Logistic model: Description: A geometric population growth model takes the form un+1 = r x un where r is the growth factor and un is the population at year n. For example, if the population were to increase annually by 20%, the growth factor is r = 1.2 and this would lead to an exponential growth. If r = 1 the population is stable. A logistic model takes a similar form to the geometric, but the growth factor depends on the size of the population and is variable. The growth factor is often estimated as a linear function by taking estimates of the projected initial growth rate and the eventual population limit. 1. A hydroelectric project is expected to create a large lake into which some fish are to be placed. A biologist estimates that if 10,000 fish were introduced into the lake, the population of fish would increase by 50% in the first year, but the long-term sustainable limit would be about 60,000. From the information above, write two ordered pairs in the form (u0, r0), (un, rn) where Un = 60,000. The Logistic Function model for un+1

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This note was uploaded on 04/18/2008 for the course CALCULUS 051 taught by Professor Bryan during the Spring '08 term at UWO.

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Maths Pro 2007 - Creating Logistic model Description A...

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