3. Suppose that daily data was collected on a bacterial population and the following logistic model was found: Xn+1 = 2.01X, – 0.0062X,?. a. According to this model, what is the carrying capacity (maximum sustainable population) for this population? b. Given an initial population size of 50 cm², use the model to predict the population for years 1, 2 and 3.

3. Suppose that daily data was collected on a bacterial population and the following logistic model was found: Xn+1 = 2.01X, – 0.0062X,?. a. According to this model, what is the carrying capacity (maximum sustainable population) for this population? b. Given an initial population size of 50 cm², use the model to predict the population for years 1, 2 and 3.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

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