STOCHASTIC DELAY GILPIN–AYALA COMPETITION MODELS

DOI10.1142/S0219493706001888zbMath1117.34079OpenAlexW2033523787MaRDI QIDQ3426808

Shigeng Hu, Bao-Sheng Lian

Publication date: 13 March 2007

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

Full work available at URL: https://doi.org/10.1142/s0219493706001888

zbMATH Keywords

stochastic differential equationasymptotic behaviorBrownian motionmoment boundedness

Mathematics Subject Classification ID

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

Related Items (14)

Asymptotic behavior of non-autonomous stochastic Gilpin–Ayala competition model with jumps ⋮ Optimal renewable resource harvesting model using price and biomass stochastic variations: a utility based approach ⋮ A stable collocation approach to solve a neutral delay stochastic differential equation of fractional order ⋮ Multiple positive periodic solutions for a food-limited two-species Gilpin-Ayala competition patch system with periodic harvesting terms ⋮ Four periodic solutions for a food-limited two-species gilpin-ayala type predator-prey system with harvesting terms on time scales ⋮ An optimal stopping problem in the stochastic Gilpin-Ayala population model ⋮ Stochastic Gilpin-Ayala competition model with infinite delay ⋮ Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps ⋮ Asymptotic behaviour of the stochastic Gilpin-Ayala competition models ⋮ Stochastic delay Lotka-Volterra model ⋮ Dynamics of a non-autonomous stochastic Gilpin-Ayala model ⋮ Asymptotic properties of a stochastic \(n\)-species Gilpin-Ayala competitive model with Lévy jumps and Markovian switching ⋮ Dynamics of an autonomous Gilpin–Ayala competition model with random perturbation ⋮ A novel collocation approach to solve a nonlinear stochastic differential equation of fractional order involving a constant delay

Cites Work

• A famous nonlinear stochastic equation (Lotka-Volterra model with diffusion)
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model
• Environmental Brownian noise suppresses explosions in population dynamics.
• Diffusion effect on stability of Lotka-Volterra models
• Stochastic delay Lotka--Volterra model
• Stability in gilpin-ayala competition models with diffusion
• Global Models of Growth and Competition

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