Linear Discrete Dynamical Systems

Stephen Lynch ()
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Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 11 in Dynamical Systems with Applications using Maple¿, 2010, pp 243-261 from Springer

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; Discrete Dynamical System; Leslie Model; Dominant Eigenvalue; Linear Difference Equation (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_12

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