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Mathematics and Recurrent Population Outbreaks

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Handbook of the Mathematics of the Arts and Sciences

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Abstract

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).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

Authors
  1. Torsten Lindström
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Correspondence to Torsten Lindström .

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Editors and Affiliations

  1. Dept of Mathematical Sciences, The University of Montana Dept of Mathematical Sciences, Missoula, MT, USA

    Bharath Sriraman

Section Editor information

  1. Linneaeus University, Växjö, Sweden

    Torsten Lindström

  2. Department of Mathematical Sciences, The University of Montana, Missoula, MT, USA

    Bharath Sriraman

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Lindström, T. (2019). Mathematics and Recurrent Population Outbreaks. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70658-0_33-1

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  • DOI: https://doi.org/10.1007/978-3-319-70658-0_33-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70658-0

  • Online ISBN: 978-3-319-70658-0

  • eBook Packages: Springer Reference MathematicsReference Module Computer Science and Engineering

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