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Homework and Report for Lesson 9:
Your Name: Reid Robol
Your Class Number: 000779899
Section Number: 001
Lesson Number: 9
1.
Describe the Applied Problem.
(1 point)
We will allow for more than one population where they depend on
each other. One population could be the predator such as a fox, and the second
population could be the prey such as a rabbit. The populations will be modeled by two or
more differential equations. The Matlab command ode45 can be used to solve such
systems of differential equations.
2.
State the Differential Equation Model.
(1 point)
We will consider the first of the continuous predatorprey models:
one predator, and one prey with constant birth and death rate,
one predator, and one prey with variable birth and death rates and
one predator, and two preys.
We consider the predator to be a fox and a prey to be either rabbits or turkeys.
One could also consider different species of fish such as sharks and bass.
x' = (d + ey)x and x(0) = x
0
. Fox Equation
y' = (b  cx)y and y(0) = y
0
. Rabbit Equation
3.
Describe the Numerical Method.
(1 point)
In this lesson we will use the Matlab command ode45 to solve our systems of
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 Spring '08
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