predator

Location: http://people.sc.fsu.edu/~jburkardt/classes/math1090_2020/predator/predator.html

predator describes a predator/prey system of equations.

The notes:

• predator.pdf
• predator.tex

Matlab:

• 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.
• euler.m, a revised version of the Euler code, which can handle systems of ODEs.
• hump_deriv.m, a function which defines the derivative associated with an ODE.
• hump_euler.m, a script to test the Euler code with the hump_deriv function.
• hump_rk4.m, a script to test the Rk4 code with the hump_deriv function.
• predator_deriv.m, a function which defines the derivatives associated with the predator-prey ODE system.
• predator_phase_euler.m, predator_phase_euler(n) uses n equal Euler steps to create a plot and phase plane for the predator-prey ODE system.
• rk4.m, a fourth-order Runge-Kutta ODE solver.

Images:

• predator_prey.png,