Stochastic permanence of two impulsive stochastic delay single species systems incorporating predation term

DOI10.1007/s12190-017-1090-7zbMath1394.34175OpenAlexW2593254318WikidataQ115601638 ScholiaQ115601638MaRDI QIDQ1743395

Xianqiang Yang

Publication date: 13 April 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1090-7

zbMATH Keywords

delayLyapunov functionsstochastic permanenceimpulsive stochastic single-species modelpredation term

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) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

Dynamics of a stochastic population model with predation effects in polluted environments ⋮ Stability and explicit stationary density of a stochastic single-species model ⋮ The threshold of a stochastic SIRS epidemic model with general incidence rate under regime-switching ⋮ Analysis of impulsive stochastic delay budworm population model with Lévy jumps ⋮ Two impulsive stochastic delay single-species models incorporating Lévy noise

Cites Work

• Periodicity and stability in a single-species model governed by impulsive differential equation
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• Stochastic delay Lotka--Volterra model
• Qualitative behaviour of numerical approximations to Volterra integro-differential equations
• Modeling and analysis of a non-autonomous single-species model with impulsive and random perturbations
• Persistence and extinction of a stochastic logistic model with delays and impulsive perturbation
• Introduction to stochastic integration.
• Globally asymptotic stability in two periodic delayed competitive systems
• Global behaviors of a periodic budworm population model with impulsive perturbations
• Stability for multispecies population models in random environments
• Periodic Solutions of Single-Species Models with Periodic Delay
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