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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:400

Article

Calsina, Angel¹  Palmada, Josep M.² 

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

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

关键词: Selection-mutation;    Age-structure;    Maturation age;    Steady state;    Spectral radius;   

DOI  :  10.1016/j.jmaa.2012.11.042

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free