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A (not so good) predator-prey problem

Here's another gem from Strogatz. A classic model of predator prey interaction favored by text-book writers (and dismissed by biologists) is the Lotka-Volterra predator-prey model which we can think of as rabbits vs. coyotes (or coyotes vs. ACME). If we let R(t) be the number of rabbits and C(t) be the number of Coyotes per 100 acres, then we can write this model as

  eqnarray301

where tex2html_wrap_inline1178 and tex2html_wrap_inline1180 are growth rates and tex2html_wrap_inline1182 and tex2html_wrap_inline1184 are specific, constant values of population density of coyotes and rabbits.


next up previous
Next: More love affairs problem Up: Your turn: More problems Previous: Your turn: More problems

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