Prey - Predator Model - Gkalp Grsel 503091141 PREY PREDATOR...

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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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Prey - Predator Model - Gkalp Grsel 503091141 PREY PREDATOR...

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