Exponential Growth

dP/dt=kP

P(t) = C₀ a^t

If a population has a constant birth rate through time and is never limited by food or disease, it has what is known as exponential growth. 

Example

If you don't have Java you are out of luck!

Experiment 1:

Using birth rates of 1.0, 1.2, 1.4, 1.6, 1.8, and 2.0. 

Step or Run the population for 30 to 40 generations 

An average birth rate of 1.0 means each individual is just replacing itself the next generation.

With a birth rate of 1.2 the population grows very slowly at first and then starts to increase more quickly as it gets larger. 

Experiment 2:

Set the average birth rate to be 1.5 

 Now change the birth rate to 0.8.

Initially the population declines quickly ... 

Next section: Logistic Growth