Linear Discrete Dynamical Systems

  • Stephen Lynch


  • To introduce recurrence relations for first-and second-order difference equations.

  • To introduce the theory of the Leslie model.

  • To apply the theory to modeling the population of a single species.


Recurrence Relation Leslie Model Dominant Eigenvalue Linear Difference Equation Leslie Matrix 
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Recommended Reading

  1. 1.
    M. R. S. Kulenovic and O. Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman and Hall, London, 2002.CrossRefMATHGoogle Scholar
  2. 2.
    S. Barnet, Discrete Mathematics, Addison—Wesley, Reading, MA, 1998.Google Scholar
  3. 3.
    S. Jal and T. G. Hallam, Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models, J. Math. Biology, 31-4 (1993), 367-395.Google Scholar
  4. 4.
    S. I. Grossman, Applications for Elementary Linear Algebra, Wadsworth, Belmont, CA, 1980.Google Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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