Learning Goal: I’m working on a python question and need the explanation and answer to help me learn.
Simulate the following continuous-time Lotka-Volterra (predator- prey) model for 0 ? t < 50 in Python, with x(0) = y(0) = 0.1, a = b = c = d = 1 and ?t = 0.01. Visualize the simulation results over time and also in a phase space. Then try to reduce the value of ?t to even smaller values and see how the simu- lation results are affected by such changes. Discuss what the overall results imply about the Euler forward method. Draw a phase space of the following differential equation (motion of a simple pendulum) in Python:
