Multi-Product Diffusion Model

This tutorial demonstrates how to use the MultiProductDiffusionModel to simulate the diffusion of multiple competing products.

import numpy as np
import matplotlib.pyplot as plt
from innovate.compete.multi_product import MultiProductDiffusionModel

# Initialize the model for 2 products
model = MultiProductDiffusionModel(n_products=2)

# Set the parameters
model.params_ = {
    "p1": 0.03, "p2": 0.02,
    "q1": 0.1, "q2": 0.15,
    "m1": 1000, "m2": 1200,
    "alpha_1_2": 0.5, "alpha_2_1": 0.3
}

# Generate the time points
t = np.linspace(0, 50, 100)

# Predict the diffusion
y = model.predict(t)

# Plot the results
plt.figure(figsize=(10, 6))
plt.plot(t, y[:, 0], label='Product 1')
plt.plot(t, y[:, 1], label='Product 2')
plt.title("Multi-Product Diffusion Model")
plt.xlabel("Time")
plt.ylabel("Cumulative Adopters")
plt.grid(True, linestyle='--', alpha=0.6)
plt.legend()
plt.show()