predator–prey equations

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To model the behaviour in a predator–prey situation the normal dependencies on birth and death rates for each population are modified by terms reflecting their interdependency: since the rate of encounter between predator and prey is approximately proportional to the product of the population sizes this would give rise to linked differential equations of the form The model is simpler than in real life but solutions of these linked differential equations give insights into the conditions in which predator–prey populations can coexist.

http://home.messiah.edu/~deroos/CSC171/PredPrey/PPIntro.htm Simulations of fox and rabbit populations.

Subjects: Mathematics.

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