Permanence extinction and global asymptotic stability in a stage structured system with distributed delays

DOI10.1016/j.jmaa.2004.07.017zbMath1085.34062OpenAlexW2058571880MaRDI QIDQ705306

Mahiéddine Kouche, Nasser-eddine Tatar, Shengqiang Liu

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.017

zbMATH Keywords

extinctionpermanencedistributed delaysstage structureinterspecific competitionglobal asymptotic stabiliy

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (12)

Competitive systems with stage structure of distributed-delay type ⋮ Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances ⋮ A delayed marine bacteriophage infection model ⋮ On \(K\)-positivity properties of time-invariant linear systems subject to discrete point lags ⋮ Permanence and existence of a positive periodic solution to a periodic stage-structured system with infinite delay ⋮ Asymptotic behaviors of jellyfish model with stage structure ⋮ Linearized oscillation theory for a nonlinear equation with a distributed delay ⋮ About \(K\)-positivity properties of time-invariant linear systems subject to point delays ⋮ The dynamic complexity of a Holling type-IV predator-prey system with stage structure and double delays ⋮ Permanence and partial extinction in a delayed three-species food chain model with stage structure and time-varying coefficients ⋮ A nonautonomous predator-prey system with stage structure and double time delays ⋮ Stability analysis of uncertain switched singular time‐delay systems with discrete and distributed delays

Cites Work

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• A time-delay model of single-species growth with stage structure
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• Extinction in Competitive Lotka-Volterra Systems
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