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Mathematics and Recurrent Population Outbreaks
Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA).ORCID-id: 0000-0002-7261-0399
2019 (engelsk)Inngår i: Handbook of the Mathematics of the Arts and Sciences / [ed] Bharath Sriraman, Cham: Springer, 2019Kapittel i bok, del av antologi (Fagfellevurdert)
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).

sted, utgiver, år, opplag, sider
Cham: Springer, 2019.
Emneord [en]
Global stability ; Limit cycle ; Lyapunov function ; Mechanistic population models ; Oscillatory dynamics ; Recurrent outbreaks
HSV kategori
Forskningsprogram
Matematik, Tillämpad matematik
Identifikatorer
URN: urn:nbn:se:lnu:diva-79673DOI: 10.1007/978-3-319-70658-0_33-1ISBN: 978-3-319-70658-0 (tryckt)OAI: oai:DiVA.org:lnu-79673DiVA, id: diva2:1280845
Tilgjengelig fra: 2019-01-21 Laget: 2019-01-21 Sist oppdatert: 2019-12-18

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