Clear Thought 1.5

# Simulation Examples ## Population Growth Model ### Basic Exponential Growth ```json { "prompt": "Simulate population growth over time", "parameters": { "initial": { "population": 1000, "growth_rate": 0.02, "carrying_capacity": 10000 }, "updateRules": [ { "target": "population", "rule": "population * (1 + growth_rate * (1 - population / carrying_capacity))" }, { "target": "growth_rate", "rule": "growth_rate * 0.99" } ], "steps": 50 } } ``` ## Economic Model ### Supply and Demand Dynamics ```json { "prompt": "Simulate market equilibrium", "parameters": { "initial": { "price": 100, "supply": 500, "demand": 600, "elasticity": 0.8 }, "updateRules": [ { "target": "price", "rule": "price + 0.1 * (demand - supply)" }, { "target": "demand", "rule": "600 - elasticity * price" }, { "target": "supply", "rule": "400 + 0.5 * price" } ], "steps": 30 } } ``` ## Disease Spread Model ### SIR Epidemic Model ```json { "prompt": "Simulate disease spread in population", "parameters": { "initial": { "susceptible": 9900, "infected": 100, "recovered": 0, "transmission_rate": 0.3, "recovery_rate": 0.1 }, "updateRules": [ { "target": "susceptible", "rule": "susceptible - (transmission_rate * susceptible * infected / 10000)" }, { "target": "infected", "rule": "infected + (transmission_rate * susceptible * infected / 10000) - (recovery_rate * infected)" }, { "target": "recovered", "rule": "recovered + (recovery_rate * infected)" } ], "steps": 100 } } ```