Population Dynamics: A Mathematical Bird’s Eye View

Odo Diekmann () and Markus Kirkilionis ()
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Odo Diekmann: Universiteit Utrecht, Mathematisch Instituut
Markus Kirkilionis: University of Warwick, Mathematics Department & Centre for Scientific Computing

Chapter 9 in Trends in Nonlinear Analysis, 2003, pp 323-340 from Springer

Abstract: Abstract The aim of this chapter is to provide interested outsiders with a brief (and therefore incomplete) overview of the kind of questions and insights concerning the dynamics of biological populations that can be formulated in mathematical language and derived by mathematical methods. Ideally the chapter should serve as an invitation to further reading and hence we give many pointers to the extensive literature. In order to highlight the ideas, we sacrifice the precise statement of assumptions (implying that some of our statements are sloppy from the point of view of the pedantic mathematician). Likewise we shall focus on the simplest examples that illustrate a key issue and not strive for generality. Our aim is to enlighten, not to impress. Moreover, we have not tried to hide our bias deriving from taste and experience, so the views we present are somewhat idiosyncratic.

Keywords: Heteroclinic Cycle; Positive Steady State; Resource Concentration; Structure Population Model; Dynamic Energy Budget (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-662-05281-5_9

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