Discrete variable methods for delay-differential equations with threshold-type delays

DOI10.1016/j.cam.2008.03.022zbMath1175.65077OpenAlexW2081661886MaRDI QIDQ1019655

Zdzisław Jackiewicz, Barbara Zubik-Kowal

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.03.022

zbMATH Keywords

consistencynumerical methodserror analysisdifference schemesdelay differential equationsepidemicspredator-prey modelthreshold conditionsbisectionexplicit Euler method

Mathematics Subject Classification ID

Related Items (6)

Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays ⋮ Sampled-data emulation of dynamic output feedback controllers for nonlinear time-delay systems ⋮ Numerical solution of threshold problems in epidemics and population dynamics ⋮ Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method ⋮ A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation ⋮ Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation

Uses Software

• DIMSIM
• bvp4c

Cites Work

• Unnamed Item
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Nordsieck representation of DIMSIMs
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• Experiments with a variable-order type 1 DIMSIM code
• Numerical solution of a problem in the theory of epidemics
• A problem in the theory of epidemics
• A time-delay model of single-species growth with stage structure
• Solving ODEs with MATLAB

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