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Math Help - Steady State Numerical ODEs

  1. #1
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    Steady State Numerical ODEs

    The population of penguins on a small island at time t is p1(t) and the population of iguanas at the same time is p2(t).

    Dp1/dt = p1(1 - p1/75) - p1p2/200

    Dp2/dt = p2/2(1 - p2/20) + p1/p2/75

    I need to find the equation for the penguin population when there are no iguanas and find the possible steady state of the population

    To find the Equation do I set p2 = 0
    The integrate with respect to p1 to find what P1 equals??

    I'm not sure how to find the steady states though..
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  2. #2
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    Quote Originally Posted by CookieC View Post
    The population of penguins on a small island at time t is p1(t) and the population of iguanas at the same time is p2(t).

    Dp1/dt = p1(1 - p1/75) - p1p2/200

    Dp2/dt = p2/2(1 - p2/20) + p1/p2/75

    I need to find the equation for the penguin population when there are no iguanas and find the possible steady state of the population

    To find the Equation do I set p2 = 0
    The integrate with respect to p1 to find what P1 equals?? Mr F says: Yes.

    I'm not sure how to find the steady states though..
    Steady state of populations: Substitute \displaystyle \frac{d p_1}{dt} = 0 and \displaystyle \frac{d p_2}{dt} = 0 and solve for p_1 and p_2.
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