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Math Help - Predator Prey Question

  1. #1
    Newbie
    Joined
    Jan 2009
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    1

    Unhappy Predator Prey Question

    Actually I know almost nothing about how to write the codes in Matlab but I have to solve this question to pass my course.How can i solve this question

    The populations of Canis lupus (wolves) and Rangifer tarandus (reindeer)
    in the environment can be described by the system of differential equations
    (
    X′(t) = X(t)(a − bY (t))
    Y ′(t) = Y (t)(cX(t) − d),
    (1)
    where X(t) is the population of Rangifer tarandus and Y (t) is the population
    of Canis lupus. The constants are a = 8, b = .25, c = .02 and
    d = 10 and the initial populations are X(0) = 600 and Y (0) = 60. Using
    the MATLAB code ode45 solve (1) for 0 <= T<= 2 and plot X(t) and Y(t)
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  2. #2
    Member
    Joined
    May 2006
    Posts
    244
    Quote Originally Posted by stardust View Post
    Actually I know almost nothing about how to write the codes in Matlab but I have to solve this question to pass my course.How can i solve this question

    The populations of Canis lupus (wolves) and Rangifer tarandus (reindeer)
    in the environment can be described by the system of differential equations
    (
    X′(t) = X(t)(a − bY (t))
    Y ′(t) = Y (t)(cX(t) − d),
    (1)
    where X(t) is the population of Rangifer tarandus and Y (t) is the population
    of Canis lupus. The constants are a = 8, b = .25, c = .02 and
    d = 10 and the initial populations are X(0) = 600 and Y (0) = 60. Using
    the MATLAB code ode45 solve (1) for 0 <= T<= 2 and plot X(t) and Y(t)
    You define a state vector:

     <br />
\mathbf{X}=\left[<br />
\begin{array}{c}<br />
x\\<br />
y<br />
\end{array}<br />
\right]<br />

    Then:

     <br />
\mathbf{X}'=\left[<br />
\begin{array}{c}<br />
\mathbf{X}_1(a-b\mathbf{X}_3)\\<br />
\mathbf{X}_2(c\mathbf{X}_1-d)\\<br />
\end{array}<br />
\right]<br />

    Then look at this thread

    .
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