Calsina, Àngel; Palmada, Josep M. Steady states of a selection-mutation model for an age structured population. (English) Zbl 1262.35200 J. Math. Anal. Appl. 400, No. 2, 386-395 (2013). 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. Cited in 9 Documents MSC: 35Q92 PDEs in connection with biology, chemistry and other natural sciences 35F31 Initial-boundary value problems for nonlinear first-order PDEs 92D25 Population dynamics (general) Keywords:maturation age; spectral radius PDFBibTeX XMLCite \textit{À. Calsina} and \textit{J. M. Palmada}, J. Math. Anal. Appl. 400, No. 2, 386--395 (2013; Zbl 1262.35200) Full Text: DOI