Unformatted text preview: RK2 and one plotting the numerical and exact solutions using RK4). 2. Consider the PredatorPrey model: dN dt = αNβPN, (2) dP dt =γP + δPN, (3) where P is the number of predators and N the number of prey (or nutrients). Write a code that solves these equations from t = 0 to t = 20. Use a time step of .1 and take initially P = 5 and N = 10. The parameters are α = 1 . 5, β = 1, γ = 3 and δ = 1. Plot the solutions P and N as a function of t on a single graph. Do this using Euler’s method, RK2 and RK4. Comment on your results, i.e. explain the dynamics of interaction between predators and prey. What to turn in : your codes as well as a 3 graphs (one plotting P and N using the Euler’s method, one plotting P and N using RK2 and one plotting P and N using RK4) and a paragraph on your explanation of the dynamics between predators and prey. 1...
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 Fall '08
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 Graph Theory, Euler, Lotka–Volterra equation

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