May 06, · The classic Lotka-Volterra model of predator-prey competition is a nonlinear system of two equations, where one species grows exponentially and the other decays exponentially in the absence of the. 4 Chapter Predator-Prey Model We have a formula for the solution of the single species logistic model. However it is not possible to express the solution to this predator-prey model in terms of exponential, trigonmetric, or any other elementary functions. It is necessary, but easy, to compute numerical solutions. 0 5 10 15 20 0 The Lotka-Volterra predator-prey equations can be used to model populations of a predator and prey species in the wild. If x is the population of zebra, and y is the population of lions, description of the population dynamics with the help of coupled differential equations.
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