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Math Help - ODE - Species population modelling

  1. #1
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    ODE - Species population modelling

    Hi guys,
    I would like some help on this problem.
    ODE - Species population modelling-exercise-set-2-question-2.jpg
    I have a quiz soon, which is on this problem set. I can't get help tomorrow as I have classes all day. I have been really busy during the last few weeks on the family farm. I have hired a personal tutor, but we don't start until after the quiz. Thus help would be much much appreciated.

    I'm not exactly sure how to model this.

    Thanks in advance,

    GirandoniAirRifle
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  2. #2
    MHF Contributor

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    Re: ODE - Species population modelling

    You are told that "if the birth rate is R then the number of births betwee difference in births between two times, t and t+ \Delta t, is R\Delta t. That is, R(t+ \Delta t)- R(t)= R\Delta t. That should remind you of \frac{R(t+ \Delta t)- R(t)}{\Delta t}= R and so of the derivative.
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