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John, S. ; Müller, J.

Age structure, replicator equation, and the prisoner's dilemma.

Math. Biosci. 365:109076 (2023)
Postprint DOI PMC
Open Access Green
We investigate the evolutionary dynamics of an age-structured population subject to weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified replicator equation is then used to investigate cooperation (the prisoner's dilemma) by means of adaptive dynamics. We identify conditions under which age structure is able to promote cooperation. At the end we discuss the relevance of our findings.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Age Structure ; Cooperation ; Prisoner's Dilemma ; Replicator Equation; Evolutionary Games; Integral-equation; Model; Cooperation; Dynamics; Behavior; Growth
Sprache englisch
Veröffentlichungsjahr 2023
HGF-Berichtsjahr 2023
ISSN (print) / ISBN 0025-5564
e-ISSN 1879-3134
Zeitschrift Mathematical Biosciences
Quellenangaben Band: 365, Heft: , Seiten: , Artikelnummer: 109076 Supplement: ,
Verlag Elsevier
Verlagsort Ste 800, 230 Park Ave, New York, Ny 10169 Usa
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
Institute of Lung Health and Immunity (LHI)
POF Topic(s) 30205 - Bioengineering and Digital Health
30202 - Environmental Health
Forschungsfeld(er) Enabling and Novel Technologies
Lung Research
PSP-Element(e) G-503800-001
G-501600-014
Förderungen Deutsche Forschungsgemeinschaft (DFG), Germany through TUM International Graduate School of Science and Engineering (IGSSE), GSC 81 within the project GENOMIE QADOP
DOI 10.1016/j.mbs.2023.109076
WOS ID 001083591900001
Scopus ID 85171590231
PubMed ID 37716407
Erfassungsdatum 2023-10-18
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