Numerical solution by LMMs of stiff delay differential systems modelling an immune response

DOI10.1007/s002110050188zbMath0859.65077OpenAlexW2023495544MaRDI QIDQ1923310

A. A. Romanyukha, Gennadii A. Bocharov, G. I. Marchuk

Publication date: 24 November 1996

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050188

zbMATH Keywords

stiff systemsdelay differential equationlinear multistep methodsimmunologyNordsieck's interpolation

Mathematics Subject Classification ID

Epidemiology (92D30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General theory of functional-differential equations (34K05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (13)

An efficient unified approach for the numerical solution of delay differential equations ⋮ Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions ⋮ Maximum response perturbation-based control of virus infection model with time-delays ⋮ Unconditionally stable difference methods for delay partial differential equations ⋮ Kinetic model of HIV infection including hematopoietic progenitor cells ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Numerical computation of derivatives in systems of delay differential equations ⋮ The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations ⋮ The stability of Radau IIA collocation processes for delay differential equations ⋮ Delay-dependent stability of high order Runge-Kutta methods ⋮ Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation ⋮ Adjoint equations and analysis of complex systems: Application to virus infection modelling ⋮ Delay-dependent stability analysis of multistep methods for delay differential equations

Uses Software

• DELSOL

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