predator

predator describes a predator/prey system of equations.

The notes:

• predator.pdf
• predator.tex

Matlab:

• euler.m, the Euler ODE solver.
• dfield9.m, a program which allows a user to interactively specify the right hand side of an ordinary differential equation (ODE). The program then displays the corresponding direction field. If the user clicks on any point in the image as an initial condition, the program displays the corresponding solution curve. The original version of this code was by John Polking.
• dfield.jar, a Java version.
• pplane9.m, a program which allows a user to interactively specify the right hand sides of two differential equations. The program then displays the corresponding phase field. If the user clicks on any point in the image as an initial condition, the program displays the corresponding phase curve. The original version of this code was by John Polking.
• pplane.jar, a Java version.
• rk4.m, a fourth-order Runge-Kutta ODE solver.

Images:

• predator_prey.png, an illustration for the notes.