Moment stability for nonlinear stochastic growth kinetics of breast cancer stem cells with time-delays

DOI10.3934/dcdsb.2016056zbMath1350.34063OpenAlexW2525578771MaRDI QIDQ325763

Chengxian Guo, Chengjun Guo, Sameed Ahmed, Xin-Feng Liu

Publication date: 11 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016056

zbMATH Keywords

comparison principlestochastic systemslinear matrix inequality (LMI)moment stabilitymean square stabilitybreast cancer stem cells

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

• Exponential stability analysis of stochastic delayed cellular neural network
• On global asymptotic stability of neural networks with discrete and distributed delays
• Fixed points and exponential stability for stochastic Volterra-Levin equations
• Theory of functional differential equations. 2nd ed
• Fixed points and exponential stability for a stochastic neutral cellular neural network
• Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
• Exponential stability of uncertain stochastic neural networks with mixed time-delays
• Exponential stability analysis of uncertain stochastic neural networks with multiple delays
• Cellular neural networks: theory
• Hopfield neural networks for optimization: Study of the different dynamics

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