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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Age Structure ; Cooperation ; Prisoner's Dilemma ; Replicator Equation; Evolutionary Games; Integral-equation; Model; Cooperation; Dynamics; Behavior; Growth
ISSN (print) / ISBN
0025-5564
e-ISSN
1879-3134
Zeitschrift
Mathematical Biosciences
Quellenangaben
Band: 365,
Artikelnummer: 109076
Verlag
Elsevier
Verlagsort
Ste 800, 230 Park Ave, New York, Ny 10169 Usa
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Förderungen
Deutsche Forschungsgemeinschaft (DFG), Germany through TUM International Graduate School of Science and Engineering (IGSSE), GSC 81 within the project GENOMIE QADOP