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Mathematics and Recurrent Population Outbreaks
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-7261-0399
2019 (English)In: Handbook of the Mathematics of the Arts and Sciences / [ed] Bharath Sriraman, Cham: Springer, 2019Chapter in book (Refereed)
Abstract [en]

Despite that outbreaks had been observed for hundreds of years for many populations, it took until the 1920s before the first mechanisms that did not involve human interference were suggested. Just a few mechanisms were included in the first models and the question whether the inclusion of other, very plausible, mechanisms could alter the predictions remained. In this chapter, we follow the development of models that have been proposed to explain oscillatory population dynamics from the early models suggested by Lotka (1925) and Volterra (1926) until global dynamical questions that are still open for models incorporating explicit resource dynamics, like the chemostat, cf Kuang (1989).

Place, publisher, year, edition, pages
Cham: Springer, 2019.
Keywords [en]
Global stability ; Limit cycle ; Lyapunov function ; Mechanistic population models ; Oscillatory dynamics ; Recurrent outbreaks
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-79673DOI: 10.1007/978-3-319-70658-0_33-1ISBN: 978-3-319-70658-0 (print)OAI: oai:DiVA.org:lnu-79673DiVA, id: diva2:1280845
Available from: 2019-01-21 Created: 2019-01-21 Last updated: 2019-09-26

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Lindström, Torsten

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CiteExportLink to record
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Citation style
  • apa
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Language
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  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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