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Population Models with Age and Space Structure
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesisAlternative title
Populationsmodeller med ålder- och rymdstruktur (Swedish)
Abstract [en]

In this thesis, basic concepts of populational models are studied from a theoretical point of view, especially the long term behaviours. All models are at least time dependent with additional age structure, spatial structure. The last model which is an extension of the von Foerster equation, is dependent on all o f these structures and have a long-term solution for large values of time. Modeling population is a frequent subject in modern biology. It is hard to create a model that appears as realistic as possible. First one might consider that a population size is governed by the current size of the population, along with rates of how each individual contributes (give birth), so that the population increases. and how frequent an individual dies, causing the population to decrease in size. However these sort of models can only describe the size of population in a shorter span of time.

Place, publisher, year, edition, pages
2017. , p. 59
Keywords [en]
Mathematical Biology, Partial Differential Equations, Long-term Behaviour
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-134926ISRN: LiTH-MAT-EX--2017/03--SEOAI: oai:DiVA.org:liu-134926DiVA, id: diva2:1078309
Subject / course
Mathematics
Presentation
2017-02-10, Determinanten, 14:07 (Swedish)
Supervisors
Examiners
Available from: 2017-03-03 Created: 2017-03-03 Last updated: 2017-03-03Bibliographically approved

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Population Models with Age and Space Structure(445 kB)160 downloads
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf