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anonymous

  • 5 years ago

Let the reproductive rates in four successive generations of a population be 4,2,3,2. If the population has a size of 10 million individuals at the end of this four-generation period, how large will it be after another two generations if there is no regulation of growth? Carrying capacity is 100 million.

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  1. dumbcow
    • 5 years ago
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    do you expect the pattern to continue? 4,2,3,2,2,2...

  2. anonymous
    • 5 years ago
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    after another 2 generation

  3. dumbcow
    • 5 years ago
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    ok so then after the next generation with a reproductive rate of 2 it would grow 200% to 30 million ->10(1+2) = 30 Repeating this for the next generation 30(1+2) = 90 90 million is that right?

  4. anonymous
    • 5 years ago
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    take note with the carrying capacity

  5. anonymous
    • 5 years ago
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    dn1/dt=r1n1

  6. anonymous
    • 5 years ago
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    \[dn2/dt =r2n2\]

  7. anonymous
    • 5 years ago
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    the rate of increase of the total population is \[dN/dt =r1n1+r2n2 = mean of the r's(N)\]

  8. dumbcow
    • 5 years ago
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    does n1 refer to initial population, n2 second generation and r1 is reproductive rate

  9. anonymous
    • 5 years ago
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    Let N be the total population number; N = n1 + n2.

  10. anonymous
    • 5 years ago
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    yes

  11. dumbcow
    • 5 years ago
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    ok

  12. dumbcow
    • 5 years ago
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    is this for a differential equations class

  13. anonymous
    • 5 years ago
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    get the mean of the r

  14. dumbcow
    • 5 years ago
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    the mean of the rates is 15/6 for all generations, how does that help? im sorry im not following or helping you :(

  15. anonymous
    • 5 years ago
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    either

  16. anonymous
    • 5 years ago
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    dn2/dt=n2(r2-mean of r (N)/K K is the carrying capacity

  17. dumbcow
    • 5 years ago
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    so dn2/dt = n2(2 - 15/6) / 100 mill ->dn2/dt = -n2/200 what is n2?

  18. dumbcow
    • 5 years ago
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    if we integrate both sides and solve for n2 -> n2 = e^-t/200

  19. anonymous
    • 5 years ago
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    ok

  20. dumbcow
    • 5 years ago
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    but the problem only refers to generations not time, so to get a number for n we need a t ??

  21. dumbcow
    • 5 years ago
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    do you know the answer?

  22. anonymous
    • 5 years ago
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    we only have one strain n

  23. dumbcow
    • 5 years ago
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    ok well i gotta go, good luck hope you find someone to help you sorry

  24. anonymous
    • 5 years ago
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    thank you very much, take care and GOD BLESS

  25. anonymous
    • 5 years ago
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    your a great help, thanks a lot

  26. anonymous
    • 5 years ago
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    bye

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