Modeling PredatorPrey Dynamics

1
Modeling Predator-Prey Dynamics
the Canadian lynx and snowshoe hare

• For simplicity sake simple, the following
  assumptions that would be unrealistic in most of
  these predator-prey situations are made.
• the predator species is totally dependent on a
  single prey species as its only food supply,
• the prey species has an unlimited food supply
• there is no threat to the prey other than the
  specific predator.

Photo source http//www.math.duke.edu/education/c
cp/materials/diffeq/predprey/pred1.html
2
Predator-Prey Model

• Prey population (R)
• In absence of predators, Rabbits grow at a rate
  proportional to the population (a)
• Rabbits and Lynx encounter at a rate proportional
  to population of each species, a fraction (b) of
  the encounters that lead to Rabbits death
• Predator population (L)
• In absence of prey, Lynx population dies at a
  rate (c) proportional to the population
• Only a fraction (e) of rabbits consumed results
  in net growth of Lynx population

3
Real Data