sd exponential growth

  • Example: Population growth with feedback.
  • Stock: Population $P$
  • Flow: Birth rate proportional to population, where $r$ is the growth rate, then more people lead to more births, reinforcing growth.
  • Behavior: Exponential growth.
  • Equation:
    • $$\tag{SD2} \frac{dP}{dt} = rP. $$
  • Diagram:
    • graph LR; Population -->|Influences| BirthRate BirthRate -->|Increases| Population
    GPT-4o, "System Dynamics Feedback Loops", ChatGPT, 26 Feb 2025, (-), url https://chatgpt.com/share/67beed0b-370c-800a-8573-555e0c3b2424 [20250226].