Logistic Differential Equations

Definition

Logistic differential equations are a type of differential equation that models population growth or decay with a limiting factor. It takes into account both the rate of change and the carrying capacity of the population.

Related terms

Exponential Growth/Decay: A type of growth or decay where the rate is proportional to the current value. Logistic differential equations are used when there is a limiting factor that affects this exponential growth.

Carrying Capacity:

The maximum number of individuals an environment can sustainably support. In logistic differential equations, it represents the limit to population growth.

Initial Value Problem:

A problem that involves finding a solution to a differential equation given an initial condition (a specific value at a certain point). Logistic differential equations often require initial conditions to determine specific solutions.