Discrete Population Models

  • Fred Brauer
  • Carlos Castillo-Chávez
Part of the Texts in Applied Mathematics book series (TAM, volume 40)


In this chapter we shall consider populations with a fixed interval between generations or possibly a fixed interval between measurements. Thus, we shall describe population size by a sequence {x n }, with x 0 denoting the initial population size, x 1 the population size at the next generation (at time t 1), x 2 the population size at the second generation (at time t 2), and so on. The underlying assumption will always be that population size at each stage is determined by the population sizes in past generations, but that intermediate population sizes between generations are not needed. Usually the time interval between generations is taken to be a constant.


Difference Equation Fibonacci Sequence Survival Equilibrium Initial Population Size Order Difference Equation 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Fred Brauer
    • 1
  • Carlos Castillo-Chávez
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. of Theoretical and Applied MechanicsMathematical and Theoretical Biology InstituteUSA
  3. 3.Biometrics DepartmentCornell UniversityIthacaUSA

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