Permanence and existence of a positive periodic solution to a periodic stage-structured system with infinite delay

DOI10.1016/j.amc.2008.03.002zbMath1156.34065OpenAlexW2057318898MaRDI QIDQ942386

Mahiéddine Kouche, Shengqiang Liu, Nasser-eddine Tatar

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.002

zbMATH Keywords

periodic solutioninfinite delaypermanencestage-structurefinite delayHorn's fixed point theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Periodic solutions for \(n\)-species Lotka-Volterra competitive systems with pure delays ⋮ Positive periodic solutions of cooperative systems with delays and feedback controls ⋮ Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays ⋮ Permanence and extinction analysis for a delayed ratio-dependent cooperative system with stage structure

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