Qualitative properties of space-dependent SIR models with constant delay and their numerical solutions

DOI10.1515/cmam-2021-0208zbMath1492.92116arXiv2112.06808OpenAlexW4200630389MaRDI QIDQ2160303

Bálint Takács, Dušan D. Repovš, István Faragó, Robert Horváth

Publication date: 3 August 2022

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

Full work available at URL: https://arxiv.org/abs/2112.06808

zbMATH Keywords

integro-differential equationsdelay differential equationsSIR modelepidemic modelsstrong stability preservation

Mathematics Subject Classification ID

Epidemiology (92D30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Computational methods for problems pertaining to biology (92-08)

Uses Software

• pchip

Cites Work

• On the computational solution of differential-difference equations
• Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Stability analysis for a vector disease model
• Qualitative properties of some discrete models of disease propagation
• Global stability of an SIR epidemic model with time delay.
• High order discretization methods for spatial-dependent epidemic models
• A convection-diffusion model for gang territoriality
• Space dependent models for studying the spread of some diseases
• Operator splitting for space-dependent epidemic model
• Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction-diffusion systems
• Mathematical Structures of Epidemic Systems
• Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation
• Total-Variation-Diminishing Time Discretizations
• Monotone Piecewise Cubic Interpolation
• Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
• Forecasting Elections Using Compartmental Models of Infection
• Numerical Methods for Ordinary Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Qualitative properties of space-dependent SIR models with constant delay and their numerical solutions