Discrete Population Models

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

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Mathematical and Computational Modeling Sciences Center (MCMSC)Arizona State UniversityTempeUSA

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