Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates

DOI10.1016/j.jde.2017.12.027zbMath1387.35362OpenAlexW2782533806MaRDI QIDQ683783

Xingfu Zou, Yixiang Wu

Publication date: 9 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.12.027

zbMATH Keywords

global attractorreaction-diffusionuniform persistencebasic reproduction numberhost-pathogenconcentration phenomenon

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25)

Related Items

Dynamic analysis of a soil organic matter and plant system with reaction-diffusion ⋮ Analysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humans ⋮ Qualitative analysis on a reaction-diffusion host-pathogen model with incubation period and nonlinear incidence rate ⋮ Spatiotemporal dynamics induced by intraguild predator diffusion in an intraguild predation model ⋮ Dynamics and asymptotic profiles of a nonlocal dispersal SIS epidemic model with bilinear incidence and Neumann boundary conditions ⋮ Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment ⋮ Diffusive host-pathogen model revisited: Nonlocal infections, incubation period and spatial heterogeneity ⋮ Threshold dynamics of a reaction-diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality ⋮ Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space ⋮ A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition ⋮ A note on the dynamics analysis of a diffusive cholera epidemic model with nonlinear incidence rate ⋮ Dynamical analysis of a diffusive SIRS model with general incidence rate ⋮ Analysis of a diffusive heroin epidemic model in a heterogeneous environment ⋮ Dynamics of a reaction-advection-diffusion model for cholera transmission with human behavior change ⋮ \( \kappa \)-contracting in a degenerated diffusive virus infection model with spatial heterogeneity ⋮ A note on global stability of a degenerate diffusion avian influenza model with seasonality and spatial heterogeneity ⋮ Influence of human behavior on COVID-19 dynamics based on a reaction-diffusion model ⋮ Dynamics of a diffusion epidemic SIRI system in heterogeneous environment ⋮ Dynamics and profiles of a diffusive cholera model with bacterial hyperinfectivity and distinct dispersal rates ⋮ The bifurcation analysis for a degenerate reaction-diffusion host-pathogen model ⋮ A partially degenerate reaction–diffusion cholera model with temporal and spatial heterogeneity ⋮ Dynamics analysis of a reaction-diffusion malaria model accounting for asymptomatic carriers ⋮ On a chemotactic host-pathogen model: boundedness, aggregation, and segregation ⋮ Threshold dynamics of a degenerate diffusive HBV infection model with DNA-containing capsids in heterogeneous environment ⋮ Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment ⋮ Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays ⋮ Basic reproduction numbers for a class of reaction-diffusion epidemic models ⋮ Dynamics of a diffusion dispersal viral epidemic model with age infection in a spatially heterogeneous environment with general nonlinear function ⋮ Analysis of global stability and asymptotic properties of a cholera model with multiple transmission routes, spatial diffusion and incomplete immunity ⋮ Global dynamics of a diffusive viral infection model with spatial heterogeneity ⋮ Global stability of a degenerate reaction-diffusion host-pathogen model in critical case ⋮ Dynamical analysis of a heroin–cocaine epidemic model with nonlinear incidence and spatial heterogeneity ⋮ Spatial dynamics of a viral infection model with immune response and nonlinear incidence ⋮ Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period ⋮ Dynamics of an EIS spatially heterogeneous rabies model ⋮ Global analysis on an age‐space structured vaccination model with Neumann boundary condition ⋮ Analysis of a diffusive host–pathogen epidemic model with two‐stage mechanism in a spatially heterogeneous environment ⋮ Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate ⋮ Unnamed Item ⋮ Dynamics on a degenerated reaction-diffusion Zika transmission model ⋮ Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment ⋮ Dynamics analysis on a chronic epidemic model with diffusion ⋮ Threshold asymptotic dynamics for a spatial age-dependent cell-to-cell transmission model with nonlocal disperse ⋮ New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: a PDE model ⋮ Time periodic reaction-diffusion equations for modeling 2-LTR dynamics in HIV-infected patients ⋮ On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models ⋮ Analysis of a reaction-diffusion cholera model with distinct dispersal rates in the human population ⋮ A note on advection-diffusion cholera model with bacterial hyperinfectivity ⋮ Global dynamics of a controlled discontinuous diffusive SIR epidemic system ⋮ Global stability for a heroin epidemic model in a critical case ⋮ Dynamics of a diffusive avian influenza model with spatial heterogeneity and general incidence rate ⋮ On a vector-host epidemic model with spatial structure ⋮ Viral diffusion and cell-to-cell transmission: mathematical analysis and simulation study ⋮ Influence of environmental pollution to a waterborne pathogen model: global dynamics and asymptotic profiles ⋮ Analysis of a degenerate reaction-diffusion host-pathogen model with general incidence rate ⋮ Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model ⋮ Dynamics of reaction-diffusion equations for modeling CD\(4^+\) T cells decline with general infection mechanism and distinct dispersal rates ⋮ Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates ⋮ Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate ⋮ Global stability analysis of a viral infection model in a critical case ⋮ Viral infection dynamics in a spatial heterogeneous environment with cell-free and cell-to-cell transmissions ⋮ Spatial dynamics of a diffusive SIRI model with distinct dispersal rates and heterogeneous environment ⋮ Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms ⋮ Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates ⋮ Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate ⋮ Threshold dynamics of a reaction-diffusion cholera model with seasonality and nonlocal delay ⋮ Global threshold analysis on a diffusive host-pathogen model with hyperinfectivity and nonlinear incidence functions ⋮ Asymptotic profiles of a nonlocal dispersal SIR epidemic model with treat-age in a heterogeneous environment ⋮ Analysis of a reaction-diffusion host-pathogen model with horizontal transmission ⋮ The SIS model with diffusion of virus in the environment ⋮ Modelling of HIV viral load and 2-LTR dynamics during high active antiretroviral therapy in a heterogeneous environment ⋮ Dynamics analysis and optimal control of SIVR epidemic model with incomplete immunity ⋮ Global dynamics and asymptotic profiles for a degenerate dengue fever model in heterogeneous environment

Cites Work

• Unnamed Item
• Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
• Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
• Repulsion effect on superinfecting virions by infected cells
• Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
• Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
• Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
• Dynamics of a host-pathogen system on a bounded spatial domain
• A reaction-diffusion SIS epidemic model in an almost periodic environment
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
• An application of the invariance principle to reaction diffusion equations
• Global attractors and steady state solutions for a class of reaction-diffusion systems
• Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
• A spatial SIS model in advective heterogeneous environments
• Global dynamics of zooplankton and harmful algae in flowing habitats
• SINGULARLY PERTURBED ELLIPTIC SYSTEM MODELING THE COMPETITIVE INTERACTIONS FOR A SINGLE RESOURCE
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
• Dissipativity and global attractors for a class of quasilinear parabolic systems
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• A Reaction-Diffusion Lyme Disease Model with Seasonality
• Dynamical systems in population biology