The improved results on the stochastic Kolmogorov system with time-varying delay

DOI10.3934/dcdsb.2015.20.1481zbMath1335.60092OpenAlexW2525755948MaRDI QIDQ256843

Yangzi Hu, Fuke Wu

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1481

zbMATH Keywords

moment boundednessnon-explosionpolynomial pathwise growthstochastic Kolmogorov systemtime-varying delay

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic Lotka-Volterra models with multiple delays
• Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay
• Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system
• Stochastic Kolmogorov-type population dynamics with infinite distributed delays
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stochastic differential delay equations of population dynamics
• Stochastic delay Lotka--Volterra model
• Dynamics of non-autonomous stochastic Gilpin-Ayala competition model with time-varying delays
• LaSalle method and general decay stability of stochastic neural networks with mixed delays
• Unbounded delay stochastic functional Kolmogorov-type system
• Stochastic Lotka–Volterra Population Dynamics with Infinite Delay
• Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system
• Stochastic Kolmogorov-Type Population Dynamics with Variable Delay
• Stochastic Differential Equations with Markovian Switching