Linear Discrete Dynamical Systems

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 2 in Dynamical Systems with Applications using MATLAB®, 2014, pp 15-32 from Springer

Abstract: 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.

Keywords: Recurrence Relation; Leslie Model; Dominant Eigenvalue; Linear Difference Equation; Sustainable Policy (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06820-6_2

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DOI: 10.1007/978-3-319-06820-6_2

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