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Age structure, replicator equation, and the prisoner's dilemma.
Math. Biosci. 365:109076 (2023)
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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4.300
1.081
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Age Structure ; Cooperation ; Prisoner's Dilemma ; Replicator Equation; Evolutionary Games; Integral-equation; Model; Cooperation; Dynamics; Behavior; Growth
Language
english
Publication Year
2023
HGF-reported in Year
2023
ISSN (print) / ISBN
0025-5564
e-ISSN
1879-3134
Journal
Mathematical Biosciences
Quellenangaben
Volume: 365,
Article Number: 109076
Publisher
Elsevier
Publishing Place
Ste 800, 230 Park Ave, New York, Ny 10169 Usa
Reviewing status
Peer reviewed
POF-Topic(s)
30205 - Bioengineering and Digital Health
30202 - Environmental Health
30202 - Environmental Health
Research field(s)
Enabling and Novel Technologies
Lung Research
Lung Research
PSP Element(s)
G-503800-001
G-501600-014
G-501600-014
Grants
Deutsche Forschungsgemeinschaft (DFG), Germany through TUM International Graduate School of Science and Engineering (IGSSE), GSC 81 within the project GENOMIE QADOP
WOS ID
001083591900001
Scopus ID
85171590231
PubMed ID
37716407
Erfassungsdatum
2023-10-18