Global asymptotic behavior of the n-species lotka-volterra tree systems with continuous time delay*

DOI10.1080/00036819808840686zbMath1047.34085OpenAlexW1971983416WikidataQ58244806 ScholiaQ58244806MaRDI QIDQ4487759

Xin-Hua Ji, Peiyan Lu

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840686

zbMATH Keywords

time delayLotka-Volterra systemequilibrium, global stability

Mathematics Subject Classification ID

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

Cites Work

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• Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay
• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• Graph theoretical criteria for stability and boundedness of predator-prey systems
• The stability of generalized Volterra equations
• The solution of the diffusion equation in two space variables subject to the specification of mass

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