Existence and stability of positive almost periodic solution for stochastic Lasota-Wazewska model

DOI10.1007/s12190-014-0761-xzbMath1322.34091OpenAlexW1996389588MaRDI QIDQ2354187

Wei Jiang, Hui Zhou

Publication date: 10 July 2015

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

Full work available at URL: https://doi.org/10.1007/s12190-014-0761-x

zbMATH Keywords

coneinfinite delaysexponentially stablepositive almost periodic solutionstochastic Lasota-Wazewska model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

Almost periodic solution analysis in a two-species competitive model of plankton alleopathy with impulses ⋮ Dynamic behaviors for a delay Lasota-Wazewska model with feedback control on time scales ⋮ Asymptotical stability and asymptotic periodicity for the Lasota-Wazewska model of fractional order with infinite delays ⋮ Unnamed Item ⋮ Asymptotic almost periodicity of stochastic evolution equations

Cites Work

• Asymptotic behavior of linear fractional stochastic differential equations with time-varying delays
• Further results on existence-uniqueness for stochastic functional differential equations
• Mean-square almost periodic solution for impulsive stochastic Nicholson's blowflies model with delays
• On almost periodic mild solutions for stochastic functional differential equations
• Positive almost periodic solution for a class of Lasota-Wazewska model with infinite delays
• Stability analysis of a stochastic logistic model with nonlinear diffusion term
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Almost periodic solutions of Lasota-Wazewska-type delay differential equation
• Differentiability of stochastic differential equations driven by the \(G\)-Brownian motion
• Stability analysis of a stochastic logistic model with infinite delay
• Existence of almost periodic solutions to some stochastic differential equations

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