A population of squirrels in a forest is observed to be 120 squirrels at time t = 0. After a month, the squirrel population is observed to have increased by 3.5%. Assume the carrying capacity is 550 squirrels. Write the logistic differential equation and initial condition for this problem, then solve it to obtain P(t). Finally, use this formula to predict the population size (in number of squirrels) after a year and a half. Round your final answer to the nearest integer value and do not include units.

A population of squirrels in a forest is observed to be 120 squirrels at time t = 0. After a month, the squirrel population is observed to have increased by 3.5%. Assume the carrying capacity is 550 squirrels. Write the logistic differential equation and initial condition for this problem, then solve it to obtain P(t). Finally, use this formula to predict the population size (in number of squirrels) after a year and a half. Round your final answer to the nearest integer value and do not include units.

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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