15-May-2025 19:34:34 predator_prey_ode_test: MATLAB/Octave version 6.4.0 Test predator_prey_ode using euler, midpoint, ode23, ode45. parameters: alpha = 2 beta = 0.001 gamma = 10 delta = 0.002 predator_prey_euler A pair of ordinary differential equations for a population of predators and prey are solved using euler(). The exact solution shows periodic behavior, with a fixed period and amplitude. Graphics saved as "predator_prey_euler_plot.png" Graphics saved as "predator_prey_euler_phase.png" Graphics saved as "predator_prey_euler_conserved.png" predator_prey_midpoint A pair of ordinary differential equations for a population of predators and prey are solved using midpoint_fixed(). The exact solution shows periodic behavior, with a fixed period and amplitude. Graphics saved as "predator_prey_midpoint_plot.png" Graphics saved as "predator_prey_midpoint_phase.png" Graphics saved as "predator_prey_midpoint_conserved.png" predator_prey_ode23 A pair of ordinary differential equations for a population of predators and prey are solved using ode23(). The exact solution shows periodic behavior, with a fixed period and amplitude. Graphics saved as "predator_prey_ode23_plot.png" Graphics saved as "predator_prey_ode23_phase.png" Graphics saved as "predator_prey_ode23_conserved.png" predator_prey_ode45 A pair of ordinary differential equations for a population of predators and prey are solved using ode45(). The exact solution shows periodic behavior, with a fixed period and amplitude. Graphics saved as "predator_prey_ode45_plot.png" Graphics saved as "predator_prey_ode45_phase.png" Graphics saved as "predator_prey_ode45_conserved.png" predator_prey_ode_test: Normal end of execution. 15-May-2025 19:34:37