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(Texas TI-84 Plus) Logistic growth equation simulation

 

A simple logistic growth equation (in discrete time) is

 

N(t+1) = N(t) + (r * N(t) * (1-N(t)))

 

(as K is set to 1.0)

 

You can plot this by:

* Under 'Mode'

* set the 4th item to 'Seq'

* Set the 6th item to 'Sequential'

* Under 'Y='

* set the timestep: nMin = 1

* set the equation: u(n) = R * u(n-1) * (1-u(n-1))

* set the initial population density: u(nMin) = 0.1

* In normal mode set R by typing (the arrow appears by pressing STO>)

 

2.5->R

 

* Press GRAPH to view the graph

 

 

If you want K to be variable the logistic growth equation is

 

N(t+1) = N(t) + (r * N(t) * (1 - (N(t)/K) ) )

 

 

 

 

 

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