The Discrete Logistic Population Model with Carrying Capacity
by Mike Martin

This page allows you to investigate the dynamics of the logistic population model with carrying capacity. The equation is:

R and K are the parameters in the equation. N1 is the initial value for the sequence -- the first term. This page will generate graphs associated to this sequence, produce the last M terms of a sequence that is T terms long, and generate the equilibrium values for the difference equation and their stability type. Enter the value of the parameters below, then press Evaluate.



R =

K =

T =

M =

N1 =


The graphs are given by:


Numerical values for the last M terms of a sequence that is T terms long are given by:


The equilibrium values, along with their stability type, are given below: