Steady states of a selection-mutation model for an age structured population

We introduce a selection-mutation model for an age and age at maturity structured population. The age at maturity is considered an evolutionary trait on which the vital rates depend, subject to selection by competition, and to mutation modelled by a birth term which takes the form of a convolution-l...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 400; no. 2; pp. 386 - 395
Main Authors Calsina, Àngel, Palmada, Josep M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.04.2013
Subjects
Age-structure
Maturation age
Selection-mutation
Spectral radius
Steady state
Age-structure
Steady state
Spectral radius
Selection-mutation
Maturation age
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Summary:We introduce a selection-mutation model for an age and age at maturity structured population. The age at maturity is considered an evolutionary trait on which the vital rates depend, subject to selection by competition, and to mutation modelled by a birth term which takes the form of a convolution-like operator. We prove well-posedness of the initial value problem and the existence of non-trivial steady states under suitable hypotheses which yield uniqueness when the interaction variable is one-dimensional.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2012.11.042