The existence of almost periodic solution of a population equation with delay

DOI10.1080/00036819608840443zbMath0879.34044OpenAlexW1980892499WikidataQ58173647 ScholiaQ58173647MaRDI QIDQ4339863

Rong Yuan, Jialin Hong

Publication date: 19 January 1998

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

Full work available at URL: https://doi.org/10.1080/00036819608840443

zbMATH Keywords

existenceLyapunov-Razumikhin methodsuniformly asymptotically stable strictly positive almost periodic solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Attractors of solutions to ordinary differential equations (34D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (13)

Permanence and stability in non-autonomous logistic systems with infinite delay ⋮ Global attractivity and positive almost periodic solution of a single species population model ⋮ Almost-periodic solutions of a delay population equation with feedback control ⋮ Almost periodic solutions of nonlinear delay population equation with feedback control ⋮ On almost periodic solutions of logistic delay differential equations with almost periodic time dependence ⋮ Weighted pseudo almost periodic solutions of neutral functional differential equations ⋮ Positive piecewise continuous quasi-periodic solutions to logistic impulsive differential equations ⋮ Global attractivity in delayed differential equations with applications to ``food-limited population model ⋮ Global attractivity and positive almost periodic solution for delay logistic differential equation ⋮ The permanence in a single species nonautonomous system with delays and feedback control ⋮ Almost periodic solutions of neutral functional differential equations ⋮ Positive almost periodic solutions of a class of Lotka-Volterra type competitive system with delays and feedback controls ⋮ On the positive almost periodic solutions of a class of Lotka-Volterra type systems with delays

Cites Work

• Existence and stability of solutions of a delay-differential system
• Theory of functional differential equations. 2nd ed
• Asymptotically periodic solutions of \(N\)-competing species problem with time delays
• Global asymptotic stability in an almost-periodic Lotka-Volterra system
• On a delay-differential equation for single specie population variations

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