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More fun on the phase plane: Extra credit

  1. Do it yourself Shakespeare Make up your own love affair scenario, describe the meaning behind the model and analyze it.
  2. A double logistic competition model A much better (and only a bit harder) species competition model than Kudzu world can be written

      eqnarray355

    where tex2html_wrap_inline1240 , tex2html_wrap_inline1242 are populations of species one and two relative to their individual carrying capacity (this is an example of scaling, if tex2html_wrap_inline1244 , it means that population one is at its carrying capacity in the absence of species 2...tricky,tricky,tricky). The constants a and b affect how much the other species affects each species growth rate.

  3. A Parasite-Host problem Okay, enough already....


marc spiegelman
Mon Sep 22 21:30:22 EDT 1997