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Linear Discrete Dynamical Systems

In: Dynamical Systems with Applications using MATLAB®

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  • Stephen Lynch

    (Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics)

Abstract

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.

Suggested Citation

  • Stephen Lynch, 2014. "Linear Discrete Dynamical Systems," Springer Books, in: Dynamical Systems with Applications using MATLAB®, edition 2, chapter 0, pages 15-32, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06820-6_2
    DOI: 10.1007/978-3-319-06820-6_2
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