One-dimensional measles dynamics

DOI10.1016/S0096-3003(03)00554-XzbMath1047.92040OpenAlexW2105634478MaRDI QIDQ1880884

F. N. M. Al-Showaikh, E. H. Twizell

Publication date: 24 September 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00554-x

zbMATH Keywords

finite-difference methodparallel implementationgeographic spreadextended SEIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06)

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Multiscale Derivation of a Time-Dependent SEIRD Reaction–Diffusion System for COVID-19 ⋮ Epidemic dynamics model with delay and impulsive vaccination control base on variable population ⋮ The dynamics of a one-dimensional fox-rabies model ⋮ A numerical solution of two-dimensional fox-rabies dynamics of advection type ⋮ Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination ⋮ Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination ⋮ An SEIRS epidemic model with two delays and pulse vaccination ⋮ Impulsive vaccination of an SEIRS model with time delay and varying total population size ⋮ SVEIRS: A new epidemic disease model with time delays and impulsive effects ⋮ Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination ⋮ Positivity preserving operator splitting nonstandard finite difference methods for SEIR reaction diffusion model ⋮ Spatio-temporal numerical modeling of reaction-diffusion measles epidemic system ⋮ On one-dimensional fox-rabies dynamics of advection type ⋮ A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems

Cites Work

• Infinite subharmonic bifurcation in an SEIR epidemic model
• Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
• Proportionate mixing models for age-dependent infection transmission
• An age-dependent epidemic model with application to measles
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