Threshold stability of an improved IMEX numerical method based on conservation law for a nonlinear advection-diffusion Lotka-Volterra model

DOI10.1016/j.matcom.2023.06.009OpenAlexW4380742089MaRDI QIDQ6094010

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Publication date: 12 September 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.06.009

zbMATH Keywords

convergenceadvection-diffusionLotka-Volterra modelnumerical stability analysisimproved numerical scheme

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
• Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
• A lower bound for the smallest singular value of a matrix
• A nonstandard finite-difference scheme for the Lotka--Volterra system
• Implicit-explicit methods for reaction-diffusion problems in pattern formation
• Existence and instability of Neumann layer solutions for a 3-component Lotka-Volterra model with diffusion
• Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model
• Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models
• Numerical analysis of a reaction-diffusion susceptible-infected-susceptible epidemic model
• Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
• A spatial SIS model in advective heterogeneous environments
• Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
• The Period in the Volterra–Lotka Predator-Prey Model
• Permanence and extinction of an impulsive delay competitive Lotka-Volterra model with periodic coefficients
• A Survey onM-Matrices
• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
• Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments