Piazzera, Susanna An age-dependent population equation with delayed birth process. (English) Zbl 1038.35145 Math. Methods Appl. Sci. 27, No. 4, 427-439 (2004). Summary: Within a semigroup framework, we discuss well posedness and qualitative behaviour of an age-dependent population equation with delay in the birth process. Using positivity and Perron-Frobenius theory we obtain an explicit stability criterion. Cited in 24 Documents MSC: 35R10 Partial functional-differential equations 35F15 Boundary value problems for linear first-order PDEs 92D25 Population dynamics (general) 47D06 One-parameter semigroups and linear evolution equations 47D60 \(C\)-semigroups, regularized semigroups 47N20 Applications of operator theory to differential and integral equations Keywords:age dependent population equation; boundary delays; characteristic equation PDFBibTeX XMLCite \textit{S. Piazzera}, Math. Methods Appl. Sci. 27, No. 4, 427--439 (2004; Zbl 1038.35145) Full Text: DOI