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10.8 kB
| """ | |
| Example of ModECI MDF - SIR model | |
| An SIR model is an epidemiological model that computes the theoretical number of people infected with a contagious illness in a closed population over time. The name of this class of models derives from the fact that they involve coupled equations relating the number of susceptible people S(t), number of people infected I(t), and number of people who have recovered R(t). | |
| """ | |
| from modeci_mdf.mdf import* | |
| import matplotlib.pyplot as plt | |
| import os | |
| import sys | |
| from matplotlib.animation import FuncAnimation | |
| import imageio | |
| import numpy as np | |
| # Rest of the code remains the same | |
| def main(total_population=1000, initial_infected=1, initial_recovered=0, beta=0.3, gamma=0.1, mode=None): | |
| # Initialize the Model | |
| sir_model = Model(id="SIR_Model") | |
| # Create a Graph within the Model | |
| sir_graph = Graph(id="SIR_Graph") | |
| sir_model.graphs.append(sir_graph) | |
| # # Parameters for the model | |
| # total_population = 1000 | |
| # initial_infected = 1 | |
| # initial_recovered = 0 | |
| # beta = 0.3 # Infection rate | |
| # gamma = 0.1 # Recovery rate | |
| initial_susceptible = total_population - initial_infected - initial_recovered | |
| # SIR equation Node | |
| sir_node = Node(id="id") | |
| total_population = Parameter(id="total_population", value=total_population) | |
| gamma = Parameter(id="gamma", value=gamma) | |
| beta = Parameter(id="beta", value=beta) | |
| susceptible_population = Parameter(id="susceptible_population", | |
| default_initial_value=initial_susceptible, | |
| time_derivative="-beta*susceptible_population*infected_population/total_population" | |
| ) | |
| infected_population = Parameter(id="infected_population", | |
| default_initial_value=initial_infected, | |
| time_derivative="beta*susceptible_population*infected_population/total_population - gamma*infected_population" | |
| ) | |
| recovered_population = Parameter(id="recovered_population", | |
| default_initial_value=initial_recovered, | |
| time_derivative="gamma*infected_population" | |
| ) | |
| infected_output1 = OutputPort(id="out_port1",value=susceptible_population.id) | |
| infected_output2 = OutputPort(id="out_port2",value=infected_population.id) | |
| infected_output3 = OutputPort(id="out_port3",value=recovered_population.id) | |
| sir_node.parameters.append(gamma) | |
| sir_node.parameters.append(beta) | |
| sir_node.parameters.append(total_population) | |
| sir_node.parameters.append(susceptible_population) | |
| sir_node.parameters.append(infected_population) | |
| sir_node.parameters.append(recovered_population) | |
| sir_node.output_ports.append(infected_output1) | |
| sir_node.output_ports.append(infected_output2) | |
| sir_node.output_ports.append(infected_output3) | |
| # Recovered Node | |
| recovered_node = Node(id="Recovered") | |
| recovered_input = InputPort(id="input_port") | |
| recovered_output = OutputPort(id="out_port",value=recovered_input.id) | |
| recovered_node.input_ports.append(recovered_input) | |
| recovered_node.output_ports.append(recovered_output) | |
| #Infected Node | |
| infected_node = Node(id="Infected") | |
| infected_input = InputPort(id="input_port") | |
| infected_output = OutputPort(id="out_port",value=infected_input.id) | |
| infected_node.input_ports.append(infected_input) | |
| infected_node.output_ports.append(infected_output) | |
| #Infected Node | |
| susceptible_node = Node(id="Susceptible") | |
| susceptible_input = InputPort(id="input_port") | |
| susceptible_output = OutputPort(id="out_port",value=susceptible_input.id) | |
| susceptible_node.input_ports.append(susceptible_input) | |
| susceptible_node.output_ports.append(susceptible_output) | |
| # Add nodes to the graph | |
| sir_graph.nodes.append(sir_node) | |
| sir_graph.nodes.append(recovered_node) | |
| sir_graph.nodes.append(infected_node) | |
| sir_graph.nodes.append(susceptible_node) | |
| # Infected to Recovered transition | |
| sir_to_rec_edge = Edge( | |
| id="sir_to_rec", | |
| sender=sir_node.id, | |
| sender_port="out_port3", | |
| receiver=recovered_node.id, | |
| receiver_port="input_port", | |
| ) | |
| sir_to_inf_edge = Edge( | |
| id="sir_to_inf", | |
| sender=sir_node.id, | |
| sender_port="out_port2", | |
| receiver=infected_node.id, | |
| receiver_port="input_port", | |
| ) | |
| sir_to_sus_edge = Edge( | |
| id="sir_to_sus", | |
| sender=sir_node.id, | |
| sender_port="out_port1", | |
| receiver=susceptible_node.id, | |
| receiver_port="input_port", | |
| ) | |
| # Add edges to the graph | |
| sir_graph.edges.append(sir_to_rec_edge) | |
| sir_graph.edges.append(sir_to_inf_edge) | |
| sir_graph.edges.append(sir_to_sus_edge) | |
| if mode=="run": | |
| from modeci_mdf.execution_engine import EvaluableGraph | |
| eg = EvaluableGraph(sir_graph, verbose=False) | |
| eg.evaluate() | |
| dt = 1 | |
| duration = 100 | |
| t = 0 | |
| times = [] | |
| s = [] | |
| i = [] | |
| r = [] | |
| while t <= duration: | |
| times.append(t) | |
| print("====== Evaluating at t = %s ======" % (t)) | |
| if t == 0: | |
| eg.evaluate() | |
| else: | |
| eg.evaluate(time_increment=dt) | |
| s.append(eg.enodes["id"].evaluable_outputs["out_port1"].curr_value) | |
| i.append(eg.enodes["id"].evaluable_outputs["out_port2"].curr_value) | |
| r.append(eg.enodes["id"].evaluable_outputs["out_port3"].curr_value) | |
| t += dt | |
| print('Susceptible polution: %s'%eg.enodes["id"].evaluable_outputs["out_port1"].curr_value) | |
| print('Infected polution: %s'%eg.enodes["id"].evaluable_outputs["out_port2"].curr_value) | |
| print('Recovered polution: %s'%eg.enodes["id"].evaluable_outputs["out_port3"].curr_value) | |
| # Create subplots | |
| fig1, axs = plt.subplots(1, 3, figsize=(15, 5),sharey=True) | |
| # Plotting Susceptible population | |
| axs[0].plot(times, s, label='Susceptible', color='blue') | |
| axs[0].set_xlabel('Time') | |
| axs[0].set_ylabel('Susceptible Population') | |
| axs[0].set_title('Susceptible Population over Time') | |
| axs[0].legend() | |
| axs[0].grid(True) | |
| # Plotting Infected population | |
| axs[1].plot(times, i, label='Infected', color='orange') | |
| axs[1].set_xlabel('Time') | |
| axs[1].set_ylabel('Infected Population') | |
| axs[1].set_title('Infected Population over Time') | |
| axs[1].legend() | |
| axs[1].grid(True) | |
| # Plotting Recovered population | |
| axs[2].plot(times, r, label='Recovered', color='green') | |
| axs[2].set_xlabel('Time') | |
| axs[2].set_ylabel('Recovered Population') | |
| axs[2].set_title('Recovered Population over Time') | |
| axs[2].legend() | |
| axs[2].grid(True) | |
| plt.tight_layout() # Adjust layout to prevent overlap | |
| plt.show() | |
| # Prepare an array to hold the rendered frames | |
| frames = [] | |
| # Generate frames | |
| for frame in range(len(times)): | |
| fig, ax = plt.subplots() | |
| ax.plot(times[:frame+1], s[:frame+1], label='Susceptible', color='blue') | |
| ax.plot(times[:frame+1], i[:frame+1], label='Infected', color='orange') | |
| ax.plot(times[:frame+1], r[:frame+1], label='Recovered', color='green') | |
| ax.xaxis.set_major_locator(plt.MaxNLocator(6)) | |
| ax.xaxis.set_major_formatter(plt.FuncFormatter(lambda x, _: '{:.1f}'.format(x))) | |
| ax.set_xlabel('Time') | |
| ax.set_ylabel('Population') | |
| ax.set_title('Population over time') | |
| ax.legend() | |
| ax.grid(True) | |
| # Convert the Matplotlib figure to a RGB array and close the figure to free memory | |
| fig.canvas.draw() | |
| image = np.frombuffer(fig.canvas.tostring_rgb(), dtype='uint8') | |
| image = image.reshape(fig.canvas.get_width_height()[::-1] + (3,)) | |
| frames.append(image) | |
| plt.close(fig) | |
| gif_path = 'animated_plot.gif' | |
| # Save the frames as a GIF | |
| imageio.mimsave(gif_path, frames, fps=20) | |
| # # Create an animated line graph | |
| # fig2, ax = plt.subplots() | |
| # ax.plot(times, s, label='Susceptible', color='blue') | |
| # ax.plot(times, i, label='Infected', color='orange') | |
| # ax.plot(times, r, label='Recovered', color='green') | |
| # ax.xaxis.set_major_locator(plt.MaxNLocator(6)) | |
| # ax.xaxis.set_major_formatter(plt.FuncFormatter(lambda x, p: '{:.1f}'.format(x))) | |
| # ax.set_xlabel('Time') | |
| # ax.set_ylabel('Population') | |
| # ax.set_title('Population over time') | |
| # ax.legend() | |
| # ax.grid(True) | |
| # def animate(frame): | |
| # ax.clear() | |
| # ax.plot(times[:frame+1], s[:frame+1], label='Susceptible', color='blue') | |
| # ax.plot(times[:frame+1], i[:frame+1], label='Infected', color='orange') | |
| # ax.plot(times[:frame+1], r[:frame+1], label='Recovered', color='green') | |
| # ax.xaxis.set_major_locator(plt.MaxNLocator(6)) | |
| # ax.xaxis.set_major_formatter(plt.FuncFormatter(lambda x, p: '{:.1f}'.format(x))) | |
| # ax.set_xlabel('Time') | |
| # ax.set_ylabel('Population') | |
| # ax.set_title('Population over time') | |
| # ax.legend() | |
| # ax.grid(True) | |
| # return[ax] | |
| # anim = FuncAnimation(fig2, animate, frames=times, interval=50, blit=True) | |
| # # Save the animated plot | |
| # anim.save('animated_plot.gif', writer='imagemagick') | |
| # plt.show() | |
| # return [fig1, anim] | |
| return [fig1, gif_path] | |
| elif mode=="graph": | |
| sir_model.to_graph_image( | |
| engine="dot", | |
| output_format="png", | |
| view_on_render=False, | |
| level=3, | |
| filename_root="sir_model", | |
| is_horizontal=True | |
| ) | |
| from IPython.display import Image | |
| Image(filename="sir_model.png") | |
| image_path = "sir_model.png" | |
| return image_path | |
| return sir_graph | |
| if __name__ == "__main__": | |
| # Check if there are any command line arguments | |
| if len(sys.argv) > 1: | |
| # Assuming the second argument is the mode (e.g., '-run' or '-graph') | |
| mode_arg = sys.argv[1] | |
| if mode_arg == "-run": | |
| main(mode="run") | |
| elif mode_arg == "-graph": | |
| main(mode="graph") | |
| else: | |
| print("Invalid argument. Please use '-run' or '-graph'.") | |
| else: | |
| print("No arguments provided. Please specify '-run' or '-graph'.") | |