Pathwise estimation of stochastic functional Kolmogorov-type systems with infinite delay

DOI10.1186/1029-242X-2012-171zbMath1282.34084WikidataQ59289883 ScholiaQ59289883MaRDI QIDQ386706

Yong Xu, Enwen Zhu

Publication date: 10 December 2013

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

zbMATH Keywords

Lotka-Volterra systemsinfinite delaypathwise estimationstochastic functional Kolmogorov systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50)

Related Items (1)

Integral majorization type inequalities for the functions in the sense of strong convexity

Cites Work

• Global stability for infinite delay Lotka--Volterra type systems
• Stochastic Kolmogorov-type system with infinite delay
• Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system
• Pathwise estimation of the stochastic functional Kolmogorov-type system
• Stochastic functional Kolmogorov-type population dynamics
• Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay
• Persistence, attractivity, and delay in facultative mutualism
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Global attractivity in scalar delayed differential equations with applications to population models.
• The almost periodic Kolmogorov competitive systems
• Permanence for a large class of planar periodic Kolmogorov systems
• Solutions of equivariance for iterative differential equations.
• 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
• On the Pathwise Growth Rates of Large Fluctuations of Stochastic Population Systems with Infinite Delay

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