An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², (with t in months.) a. Apply Modified Euler's method together with any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², (with t in months.) a. Apply Modified Euler's method together with any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

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 2EA

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