# What is the equation for a logistic function?

**logistic function**is one that grows or decays rapidly for a period of time and then levels out. It takes the form f(x)=frac{c}{1+a cdot b^x}. A

**logistic**model is used to represent a

**function**that grows or decays rapidly for a period of time and then levels out.

Keeping this in view, what is the logistic growth equation?

The term for population **growth** rate is written as (dN/dt). The **logistic growth equation** assumes that K and r do not change over time in a population. **Logistic Growth Equation**. Let's see what happens to the population **growth** rate as N changes from being smaller than K, close or equal to K and larger than K.

Also, is R constant in logistic growth? When the per capita rate of increase ( **r**) takes the same positive value regardless of the **population** size, then we get **exponential growth**. When the per capita rate of increase ( **r**) decreases as the **population** increases towards a maximum limit, then we get **logistic growth**.

Also asked, which equation represents the logistic growth rate of a population?

An important example of a model often used in biology or ecology to model **population growth is** called the **logistic growth** model. The general form of the **logistic equation is** P(t) = frac{KP_0e^{rt}}{K+P_0(e^{rt}-1)}.

Why is it called logistic growth?

Meaning 1: **Logistic** population **growth** The term "**logistic**" was first invented in the nineteenth century to describe population **growth** curves. The idea is pretty simple. Population **growth** is limited, so can't ever exceed some value we'll call Nmax.