👉 Marriott's math, named after mathematician John Marriott, is a framework for understanding and predicting the growth of populations or systems that exhibit exponential or logistic behavior. It introduces the concept of "growth rates" and "carrying capacities," providing a mathematical model to describe how systems evolve over time. The core idea is that growth rates depend on the current size of the system and its available resources, leading to different patterns: exponential growth (unbounded) when resources are unlimited and logistic growth (saturated) when resources are finite. Marriott's model uses differential equations to capture these dynamics, offering insights into population biology, epidemiology, and even economic systems. It's particularly powerful for analyzing scenarios where rapid expansion or stabilization is expected, making it a versatile tool in fields ranging from ecology to epidemiology.
