Asymptotic properties of solutions in a model of antibacterial immune response

zbMath1402.34083MaRDI QIDQ1615750

R. Smith

Publication date: 31 October 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitydelay differential equationsattraction setestimates of solutionsantibacterial immune responsemodified Lyapunov-Krasovskii functional

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Stationary solutions of functional-differential equations (34K21)

Related Items (4)

Asymptotic behavior of solutions in a model of immune response in plants ⋮ Unnamed Item ⋮ The second Lyapunov method for time-delay systems ⋮ Bernstein processes, isovectors and mechanics

Cites Work

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• On stability of immune protection model with regard for damage of target organ: the degenerate Liapunov functionals method
• Problems of control for immunological models
• Stability and bifurcations for the chronic state in Marchuk's model of an immune system
• Convergence estimates for solutions of linear stationary systems of differential-difference equations with constant delay
• Exponential estimates for time delay systems
• On dichotomies for solutions of \(n\)-th order linear differential equations
• Exponential estimates for retarded time-delay systems: an LMI approach
• Computational aspects of time-lag models of Marchuk type that arise in immunology

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