Linear Discrete Dynamical Systems

  • Stephen Lynch

Aims and Objectives

• 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.

On completion of this chapter, the reader should be able to

• solve first- and second-order homogeneous linear difference equations;

• find eigenvalues and eigenvectors of matrices;

• model a single population with different age classes;

• predict the long-term rate of growth/decline of the population;

• investigate how harvesting and culling policies affect the model.


Recurrence Relation Discrete Dynamical System Leslie Model Dominant Eigenvalue Linear Difference Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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