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Problem 5 . Solve the following initial value problem for the logistic equation: dP dt rP p 1 P K q ( 2 ) P

Problem 5. Solve the following initial value problem for the logistic equation:
dP
dt rP p1 P
K q (2)
P p0q K{2.
This represents the growth of a population whose initial value is half the carrying capacity of
the environment.
A population of rabbits is though to evolve according to (2). The carrying capacity is known
to be 500 rabbits, and the growth rate 0.04 rabbits/month. If the initial population is 250
rabbits, what does the model predict the population to be after 1 year?

Step by Step Solution

1 Understanding Responsive Design Principles

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