Numerical threshold stability analysis of a positivity-preserving IMEX numerical scheme for a nonlinear age-space structured SIR epidemic model
DOI10.1007/s40314-024-02768-6zbMath1541.92116MaRDI QIDQ6552686
Publication date: 10 June 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
SIR epidemic modelspace semi-discretizationage-space structured modelnumerical basic reproduction numbernumerical threshold stability
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (1)
Cites Work
- Partial differential equations of an epidemic model with spatial diffusion
- Travelling wave solutions in multigroup age-structured epidemic models
- An age-dependent epidemic model with spatial diffusion
- A lower bound for the smallest singular value of a matrix
- A contribution to the mathematical theory of epidemics.
- A problem in age-distribution.
- Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts
- Diffusion epidemic models with incubation and crisscross dynamics
- Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model
- Numerical analysis of linear \(\theta \)-methods with two-layer boundary conditions for age-structured population models
- Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models
- Numerical representations of global epidemic threshold for nonlinear infection-age SIR models
- Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
- Localized outbreaks in an S-I-R model with diffusion
- Asymptotic behavior of an SIR reaction-diffusion model with a linear source
- Second-order implicit-explicit scheme for the Gray-Scott model
- Mathematical analysis of an age-structured SIR epidemic model with vertical transmission
- An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model
- Stability and Asymptotic Behaviour for the Numerical Solution of a Reaction—Diffusion Model for a Deterministic Diffusive Epidemic
- Travelling wave solutions for an infection-age structured epidemic model with external supplies
- Asymptotic behavior for a system describing epidemics with migration and spatial spread of infection
- Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
- Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids
- S-I-R Model with Directed Spatial Diffusion
- Lyapunov functional and global asymptotic stability for an infection-age model
- A Survey onM-Matrices
- Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
- An infection age-space structured SIR epidemic model with Neumann boundary condition
- An infection age-space-structured SIR epidemic model with Dirichlet boundary condition
- Threshold stability of an improved IMEX numerical method based on conservation law for a nonlinear advection-diffusion Lotka-Volterra model
- Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source
- Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments
This page was built for publication: Numerical threshold stability analysis of a positivity-preserving IMEX numerical scheme for a nonlinear age-space structured SIR epidemic model