Difference between Exponential or J shaped and Logistic or S shaped growth models of Population

 Difference between Exponential or J shaped and Logistic or S shaped growth models of Population

The number of individuals added per unit population per unit time due to a higher rate of births and immigration over the rate of deaths and emigration is called population growth. Populations have characteristic patterns of increase, which are called population growth forms. 

There are two main types of population growth models: J-form (exponential growth) and S-shaped or sigmoid (logistic growth) forms.

Exponential or J-shaped growth	Logistic or S-shaped growth
It occurs when the resources are abundant.	It occurs when the resources are limited.
An equilibrium is never reached in population size.	An equilibrium is reached when the size of population approaches the carrying capacity of the ecosystem
Environmental resistance does not operate to slow down the exponential phase.	Environmental resistance begins to operate to slow down the exponential phase.
It has two phases: lag and log are very rapid.	It has 4 phases:  lag, log, deceleration, and steady, and is comparatively less rapid.
Population grows well beyond the carrying capacity of the ecosystem. $dN/dt=rN$ Where: dN/dt = rate of change of population size over time r = intrinsic rate of natural increase (per capita birth rate minus per capita death rate) N = population size	Population seldom grows beyond the carrying capacity of the ecosystem. $dN/dt=rN(K-N)/K$ Where: dN/dt = rate of change of population size over time r = intrinsic rate of natural increase N = population size K = carrying capacity
Population crashes ultimately occur due to mass mortality.	Population seldom crashes.