Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations

DOI10.1016/j.apm.2016.01.008zbMath1465.92095OpenAlexW2282904730MaRDI QIDQ2290896

Shengliang Guo, Meng Liu, Ronghua Tan, Zhijun Liu

Publication date: 29 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.01.008

zbMATH Keywords

impulsesglobal attractivityrandom perturbationsextinction \(\to\) stochastic permanencenon-autonomous single-species model

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• Periodicity and stability in a single-species model governed by impulsive differential equation
• On a stochastic logistic equation with impulsive perturbations
• Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
• Persistence and extinction in stochastic non-autonomous logistic systems
• Dynamical behaviors of a trimolecular response model with impulsive input
• Exponential stability of artificial neural networks with distributed delays and large impulses
• A predator-prey model with disease in the prey and two impulses for integrated pest management
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy
• Persistence in population models with demographic fluctuations
• Effects of parameter fluctuations on community survival
• Global dynamics of the periodic logistic system with periodic impulsive perturbations.
• Mathematical biology. Vol. 1: An introduction.
• Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation
• Global stability of a stage-structured predator-prey model with stochastic perturbation
• Dynamics of a stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response
• Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
• Global behaviors of a periodic budworm population model with impulsive perturbations
• Stochastic Differential Equations with Markovian Switching