Xu, Shengqin; Wang, Chuncheng; Fan, Dejun Stability and bifurcation in an age-structured model with stocking rate and time delays. (English) Zbl 1416.35039 Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2535-2549 (2019). Summary: In this paper, a predator-prey model with age structure, stocking rate and two delays is investigated. We show that Hopf bifurcation occurs when one of the time delay \(\tau\) crosses a sequence of critical values, by applying Hopf bifurcation theory for abstract Cauchy problems with non-dense domain. Numerical simulations are included to verify our results and a summary is also given. Cited in 4 Documents MSC: 35B32 Bifurcations in context of PDEs 92D30 Epidemiology 35L60 First-order nonlinear hyperbolic equations 35L50 Initial-boundary value problems for first-order hyperbolic systems 47D06 One-parameter semigroups and linear evolution equations Keywords:Hopf bifurcation; non-densely defined; integrated semigroup PDFBibTeX XMLCite \textit{S. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2535--2549 (2019; Zbl 1416.35039) Full Text: DOI