Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics

被引：51

作者：

Calsina, A

Cuadrado, S

机构：

[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17071, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2004年 / 48卷 / 02期

关键词：

ESS; mutation; spectral bound; irreducible semigroup;

D O I：

10.1007/s00285-003-0226-6

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An integrodifferential equations model for the distribution of individuals with respect to the age at maturity is considered. Mutation is modeled by an integral operator. Results concerning the behaviour of the steady states and their relation to evolutionarily stable strategies when the mutation rate is small are given. The same results are obtained for a (rather) general class of models that include the one mentioned before.

引用

页码：135 / 159

页数：25

共 33 条

[1] Survival of the fittest in a generalized logistic model [J].