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Gökalp Gürsel
503091141
PREY – PREDATOR MODEL
Prey – Predator Models are generally modelling a population growth. However, sometimes
this model can take the forms of parasite – host, tumor cells – immune system, resource – consumer
and susceptible – infection interactions.
Famous prey – predator equation is Lotka – Volterra equation. These equations are a pair of
first – order, non – linear, differential equations. These equations were generated independently by
Alfred J. Lotka in 1925 and Vito Volterra in 1926.
This model is based on linear growth rates per capita;
According to these equations, if y(number of predator) is zero, x(the number of prey) increase
exponentially.
In these equations, prey are assumed to have an unlimited food. Therefore, if there is no
predator, number of prey increase. This means that, predator’s food – prey increase. This cause to
increase in the population of predator. Predator eat prey. So number of prey decrease. Then the
number of predator ddecrease, due to decrease in food. Decreasing the number of predator cause to
increase in the number of prey. This circle happens again and again.
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 Spring '09
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