Global asymptotic stability of a Lotka-Volterra competition model with stochasticity in inter-specific competition

DOI10.1016/j.aml.2018.09.018zbMath1407.92116OpenAlexW2895625077WikidataQ129138998 ScholiaQ129138998MaRDI QIDQ1726562

Xiong Li, Hao Wang, Junjing Xiong

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.09.018

zbMATH Keywords

global asymptotic stabilityinter-specific competitionstochastic Lotka-Volterra competition model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items (7)

Analysis of a stochastic Lotka–Volterra competitive system with infinite delays and Ornstein–Uhlenbeck process ⋮ Synchronization control of stochastic delayed Lotka-Volterra systems with hardware simulation ⋮ LMI approach to global stability analysis of stochastic delayed Lotka-Volterra models ⋮ Asymptotic properties of stochastic prey-predator models ⋮ Dynamical analysis on two stochastic single-species models ⋮ Pseudo almost periodic solutions and global exponential stability of a generalized population model with delays and harvesting term ⋮ The survival analysis of a stochastic Lotka-Volterra competition model with a coexistence equilibrium

Cites Work

• Analysis of autonomous Lotka-Volterra competition systems with random perturbation
• Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
• Coexistence and exclusion of stochastic competitive Lotka-Volterra models
• Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Mathematical biology. Vol. 1: An introduction.
• Environmental Brownian noise suppresses explosions in population dynamics.
• The effects of time-dependent delays on global stability of stochastic Lotka-Volterra competitive model
• Stochastic delay Lotka--Volterra model
• A Stochastic Differential Equation SIS Epidemic Model

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