Analysis of an SIS reaction-diffusion-chemotaxis epidemic model with gradient-dependent flux limitation and standard incidence
type: Item
instance of: scholarly article
title: Analysis of an SIS reaction-diffusion-chemotaxis epidemic model with gradient-dependent flux limitation and standard incidence
author: Zhan Jiao
author: Irena Jadlovská
author: Tongxing Li
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2024-08-14T00:00:00Z
review text: This paper is dedicated to studying an SIS reaction-diffusion-chemotaxis epidemic model that incorporates cross-diffusion effects. Initially, the paper establishes the existence of a globally bounded classical solution for the Neumann initial-boundary value problem, given reasonably regular initial data. The primary focus is on examining the qualitative behavior of solutions of the proposed model, taking into account the complex interactions among nonlinear cross-diffusion, gradient-dependent flux limitation, standard incidence, and demographic factors. Additionally, for sufficiently small initial data, a result on global classical solvability is achieved under the condition that the space-dependent recruitment rate of susceptible individuals remains suitably small.
reviewed by: L. Shangerganesh
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7896880
zbMATH Keywords: chemotaxis
zbMATH Keywords: SIS epidemic model
zbMATH Keywords: global existence
zbMATH Keywords: flux limitation
zbMATH Keywords: standard incidence
zbMATH Keywords: nonlinear cross-diffusion
MaRDI profile type: Publication
cites work: Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: Turing patterns of an si epidemic model with cross-diffusion on complex networks
cites work: Boundedness in a nonlinear attraction-repulsion Keller-Segel system with production and consumption
cites work: On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
cites work: A contribution to the mathematical theory of epidemics.
cites work: Contributions to the mathematical theory of epidemies. II: The problem of endemicity.
cites work: Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity
cites work: Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption
cites work: Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
cites work: Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
cites work: A reaction-diffusion malaria model with incubation period in the vector population
cites work: Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
cites work: On a parabolic-elliptic system with gradient dependent chemotactic coefficient
cites work: Global stability of the steady states of an SIS epidemic reaction-diffusion model
cites work: Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
cites work: A reaction-diffusion SIS epidemic model in a time-periodic environment
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
cites work: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
cites work: Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities
cites work: Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
cites work: Global in time and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity
cites work: Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
cites work: Boundedness in a chemotaxis-haptotaxis model with gradient-dependent flux limitation
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: A critical blow-up exponent in a chemotaxis system with nonlinear signal production
cites work: Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
cites work: Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
cites work: A critical blow-up exponent for flux limiation in a Keller-Segel system
cites work: Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
cites work: Q5141639
DOI: 10.3934/DCDSB.2024021
description: scientific article; zbMATH DE number 7896880