Y1 represents the number of prey, and y2 the number of predators. Using the initial values and constants from Atkinson et al (Numerical Solution of ODEs), the Runge Kutta Merson method was used to solve the equations.
Sunday, June 1, 2014
The Lotka-Volterra Predator-Prey Problem
Relationships between predators and prey are modeled using the Lotka-Volterra (LV) ODEs. The generalized form of the LV equations is:
Y1 represents the number of prey, and y2 the number of predators. Using the initial values and constants from Atkinson et al (Numerical Solution of ODEs), the Runge Kutta Merson method was used to solve the equations.
Y1 represents the number of prey, and y2 the number of predators. Using the initial values and constants from Atkinson et al (Numerical Solution of ODEs), the Runge Kutta Merson method was used to solve the equations.
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