A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Necessary and sufficient conditions for evolutionary suicide
Tekijät: Gyllenberg M, Parvinen K
Kustantaja: ACADEMIC PRESS LTD
Julkaisuvuosi: 2001
Journal: Bulletin of Mathematical Biology
Tietokannassa oleva lehden nimi: BULLETIN OF MATHEMATICAL BIOLOGY
Lehden akronyymi: B MATH BIOL
Vuosikerta: 63
Numero: 5
Aloitussivu: 981
Lopetussivu: 993
Sivujen määrä: 13
ISSN: 0092-8240
DOI: https://doi.org/10.1006/bulm.2001.0253
Tiivistelmä
Evolutionary suicide is an evolutionary process where a viable population adapts in such a way that it can no longer persist. It has already been found that a discontinuous transition to extinction is a necessary condition for suicide. Here we present necessary and sufficient conditions, concerning the bifurcation point, for suicide to occur. Evolutionary suicide has been found in structured metapopulation models. Here we show that suicide can occur also in unstructured population models. Moreover, a structured model does not guarantee the possibility of suicide: we show that suicide cannot occur in age-structured population models of the Gurtin-MacCamy type. The point is that the mutant's fitness must explicitly depend not only on the environmental interaction variable, but also on the resident strategy. (C) 2001 Society for Mathematical Biology.
Evolutionary suicide is an evolutionary process where a viable population adapts in such a way that it can no longer persist. It has already been found that a discontinuous transition to extinction is a necessary condition for suicide. Here we present necessary and sufficient conditions, concerning the bifurcation point, for suicide to occur. Evolutionary suicide has been found in structured metapopulation models. Here we show that suicide can occur also in unstructured population models. Moreover, a structured model does not guarantee the possibility of suicide: we show that suicide cannot occur in age-structured population models of the Gurtin-MacCamy type. The point is that the mutant's fitness must explicitly depend not only on the environmental interaction variable, but also on the resident strategy. (C) 2001 Society for Mathematical Biology.
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