GLOBAL SOLUTIONS AND BOUNDEDNESS OF STOCHASTIC FUNCTIONAL KOLMOGOROV SYSTEM WITH INFINITE DELAY

DOI10.1142/S0219493709002695zbMath1186.60055OpenAlexW2041652653MaRDI QIDQ5320892

Fuke Wu, Yong Xu, Shigeng Hu

Publication date: 22 July 2009

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493709002695

zbMATH Keywords

boundednessinfinite delayglobal positive solutionLotka-Volterra systemstochastic Kolmogorov system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Cites Work

• Global stability for infinite delay Lotka--Volterra type systems
• Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Global attractivity in scalar delayed differential equations with applications to population models.
• Monotone random systems theory and applications
• Permanence for a large class of planar periodic Kolmogorov systems
• Stochastic delay Lotka--Volterra model
• Global asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with infinite delays
• Existence of global attractors for a class of periodic Kolmogorov systems
• Permanence in Kolmogorov-type systems of nonautonomous functional differential equations
• Asymptotic periodicity of the Volterra equation with infinite delay
• Global asymptotic stability in \(n\)-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control
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