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Density-Dependent Feedback in Age-Structured Populations
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Stockholm Resilience Centre, Stockholm University, Stockholm, Sweden.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8422-6140
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2019 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 242, no 1, p. 2-24Article in journal (Refereed) Published
Abstract [en]

The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and age-dependent factors will facilitate more accurate predictions about the population dynamics and its asymptotic behaviour. In this paper, we develop a rigourous mathematical analysis to study positive and negative effects of increased population density in the classical nonlinear age-structured population model introduced by Gurtin \& MacCamy in the late 1970s. One of our main results expresses the global stability of the system in terms of the newborn function only. We also derive the existence of a threshold population size implying the population extinction, which is well-known in population dynamics as an Allee effect.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2019. Vol. 242, no 1, p. 2-24
Keywords [en]
Age-Structured Populations
National Category
Mathematics Other Biological Topics
Identifiers
URN: urn:nbn:se:liu:diva-157057OAI: oai:DiVA.org:liu-157057DiVA, id: diva2:1317992
Available from: 2019-05-24 Created: 2019-05-24 Last updated: 2019-06-13Bibliographically approved

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Andersson, JonathanKozlov, VladimirRadosavljevic, SonjaTkachev, VladimirWennergren, Uno

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CiteExportLink to record
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