A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
DOI10.3934/cpaa.2021094OpenAlexW3169515350MaRDI QIDQ2699508
Shuyu Sun, Xiuhua Wang, Huangxin Chen, Jisheng Kou
Publication date: 19 April 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021094
epidemic modelpositivity preservingadvection-diffusion-reaction equationscell-centered finite difference method
Epidemiology (92D30) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
- Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Traveling wave solutions in a two-group SIR epidemic model with constant recruitment
- Dynamic consistent NSFD scheme for a viral infection model with cellular infection and general nonlinear incidence
- Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media
- Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential
- Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model
- Existence of traveling wave solutions for influenza model with treatment
- Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential
- Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay
- Critical traveling waves in a diffusive disease model
- The Mathematics of Infectious Diseases
- Direct Numerical Simulations of Gas–Liquid Multiphase Flows
- Finite difference approximate solutions for the Cahn-Hilliard equation
- Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
- A block-centered finite difference method for Darcy-Forchheimer model with variable Forchheimer number
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- Traveling Waves for a Class of Diffusive Disease-Transmission Models with Network Structures
- Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow
- Traveling wave fronts in a diffusive epidemic model with multiple parallel infectious stages
- A non-standard finite difference scheme for an epidemic model with vaccination
- A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
This page was built for publication: A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
