Wihler, Thomas (2017). Animal population social structure models. IMA journal of applied mathematics, 82(3), pp. 548-560. Oxford University Press 10.1093/imamat/hxx002
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We develop a new class of mathematical ranking models for the purpose of quantifying the social structure in animal populations. Our approach is based on taking into account both the interaction between single individuals as well as their role within their community as a whole. From a mathematical point of view, these models are (possibly nonlinear) eigenvalue problems for column stochastic matrices. In order to provide a procedure for their computational treatment, we derive a suitable Newton iteration method on simplexes.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0272-4960 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 16:31 |
Last Modified: |
20 Dec 2022 14:38 |
Publisher DOI: |
10.1093/imamat/hxx002 |
BORIS DOI: |
10.7892/boris.109180 |
URI: |
https://boris.unibe.ch/id/eprint/109180 |
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