Asymptotic analysis for a nonlinear reaction-diffusion system modeling an infectious disease

DOI10.1016/j.nonrwa.2023.103984zbMath1526.35080arXiv2201.13452MaRDI QIDQ6062928

Hong-Ming Yin, Jun Zou

Publication date: 6 November 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.13452

zbMATH Keywords

stability analysisglobal existence and uniquenessnonlinear reaction-diffusion systeminfectious disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model
• Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model
• Global stability for cholera epidemic models
• Global existence in reaction-diffusion systems with control of mass: a survey
• Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
• Bifurcation analysis of periodic SEIR and SIR epidemic models
• Existence of solutions for reaction-diffusion systems with \(L^1\) data
• Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Stability analysis and application of a mathematical cholera model
• A spatial SEIRS reaction-diffusion model in heterogeneous environment
• Global classical solutions to quadratic systems with mass control in arbitrary dimensions
• Spatial models of vector-host epidemics with directed movement of vectors over long distances
• Close-to-equilibrium behaviour of quadratic reaction-diffusion systems with detailed balance
• On a cross-diffusion system modeling vegetation spots and strips in a semi-arid or arid landscape
• The Mathematics of Infectious Diseases
• Global Stability of Infectious Disease Models Using Lyapunov Functions
• Analysis of cholera epidemics with bacterial growth and spatial movement
• Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension
• Spatial Ecology via Reaction‐Diffusion Equations
• Global well-posedness of infectious disease models without life-time immunity: the cases of cholera and avian influenza
• Blowup in Reaction-Diffusion Systems with Dissipation of Mass
• Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
• Global Existence for Quadratic Systems of Reaction-Diffusion

This page was built for publication: Asymptotic analysis for a nonlinear reaction-diffusion system modeling an infectious disease