BIOL / MATH 3350 Homework assignment 1

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BIOL / MATH 3350
Homework assignment 1
In class we discussed the dynamics produced by a version of the discrete logistic model
for population growth. There is another version that follows this recursion equation:
  n(t )  
n(t  1)  n(t )exp  r 1 

K  
 
1. This version of the logistic model has similar kinds of dynamics. Analyze these in
relation to different values of the parameter little r, making plots of n(t) versus t to
illustrate the various dynamics that occur.
2. Write a report that summarizes what you found and identifies and describes each type
of dynamics that you illustrate with graphs.
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