Spreading speed and traveling waves for a multi-type SIS epidemic model

No abstract is available for this paper.

• Publication year

  2006

• Venue

  Journal of Differential Equations

• Publication date

  2006-10-01

• Fields of study

  Mathematics, Medicine

• Identifiers
  DOI 10.1016/J.JDE.2006.01.020
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications

  2007influential reference
• Spreading speed and travelling waves for a spatially discrete SIS epidemic model

  2007influential reference
• GLOBAL ASYMPTOTIC BEHAVIOR IN SOME COOPERATIVE SYSTEMS OF FUNCTIONAL DIFFERENTIAL EQUATIONS

  2005cited by this paper
• Bistable Waves in an Epidemic Model

  2004cited by this paper
• Fisher waves in an epidemic model

  2004cited by this paper
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models

  2003influential reference
• Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction

  2003cited by this paper
• Dynamical systems in population biology

  2003cited by this paper
• Spatial deterministic epidemics

  2003influential reference
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat

  2002cited by this paper
• Mathematical Biology

  2002cited by this paper
• Traveling Wave Fronts of Reaction-Diffusion Systems with Delay

  2001cited by this paper
• Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations

  2000cited by this paper
• Asymptotic and Periodic Boundary Value Problems of Mixed FDEs and Wave Solutions of Lattice Differential Equations

  1997cited by this paper
• Book Review: Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems

  1996cited by this paper
• Traveling Wave Solutions of Parabolic Systems

  1994cited by this paper
• Biological growth and spread modeled by systems of recursions. II. Biological theory.

  1989cited by this paper
• Biological growth and spread modeled by systems of recursions. I. Mathematical theory.

  1989cited by this paper
• Asymptotic behavior and traveling wave solutions for parabolic functional-differential equations

  1987cited by this paper
• Saddle point approximations in n-type epidemics and contact birth processes

  1984influential reference
• Long-Time Behavior of a Class of Biological Models

  1982cited by this paper
• Some deterministic models for the spread of genetic and other alterations

  1980cited by this paper
• Run for your life; a note on the asymptotic speed of propagation of an epidemic : (preprint)

  1979cited by this paper
• Run for your life.

  1979cited by this paper
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread

  1979cited by this paper
• Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.

  1979cited by this paper
• Thresholds and travelling waves for the geographical spread of infection

  1978cited by this paper
• Nonlinear diffusion in population genetics

  1977cited by this paper
• Deterministic epidemic waves of critical velocity

  1977cited by this paper
• Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation

  1975cited by this paper
• Cooperative

  1950cited by this paper

• Propagation dynamics of a Zika virus model with diffusion and constant recruitment

  2026cites this paper
• Spatiotemporal propagation of a time-periodic reaction-diffusion two group SI epidemic model with demographic structure

  2026cites this paper
• Global dynamics of a differential-difference diffusive SIR model with Dirichlet boundary conditions

  2026cites this paper
• Spatial spreading wave in a diffusive SIR model with delayed infection force reflecting host precaution

  2025cites this paper
• Time periodic traveling wave solutions of a time-periodic reaction–diffusion SEIR epidemic model with periodic recruitment

  2025cites this paper
• Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal

  2025cites this paper
• On periodic nonlocal dispersal competition systems in heterogeneous shifting environments: Survival exchange and gap phenomena

  2025cites this paper
• Time periodic travelling waves for an advection–reaction–diffusion SIR epidemic model with seasonality and bilinear incidence

  2025cites this paper
• Invasion Dynamics of a Pioneer-Climax Interaction Model with Nonlocal Dispersal

  2025cites this paper
• Spreading dynamics of a time-periodic reaction-advection-diffusion system with nonlocal dispersal

  2025cites this paper
• Traveling Waves in a Hybrid Reaction‐Diffusion‐Difference SEIR Epidemic Model With Nonlocal Transmission and Protection Phase With Delay

  2025cites this paper
• Traveling waves for a diffusive SIR epidemic model with delay in the diffusion term

  2025cites this paper
• Spreading dynamics for a time-periodic nonlocal dispersal epidemic model with delay and vaccination

  2025influential citation
• Global Dynamics for a Class of Nonlocal Evolution Systems in a Periodic Shifting Environment

  2025influential citation
• Bistable traveling waves of a nonlocal reaction-diffusion model with non-monotone birth pulse

  2025cites this paper
• Spatio-temporal dynamics of nonlocal dispersal systems in time-space periodic habitats

  2025cites this paper
• Persistence and spatial propagation of an impulsive integro-differential model with non-local pulse

  2025influential citation
• Traveling waves for a nonlocal delayed reaction-diffusion SIR epidemic model with demography effects

  2024cites this paper
• Propagation dynamics of nonlocal dispersal competition systems in time-periodic shifting habitats

  2024cites this paper
• Spatial dynamics and bistable traveling waves of an impulsive nonlocal-reaction-diffusion model

  2024cites this paper
• Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults

  2024influential citation
• Propagation dynamics for a time-periodic reaction-diffusion two group SIR epidemic model

  2024cites this paper
• Traveling waves for a time-delayed nonlocal reaction-diffusion model of within-host viral infections

  2024cites this paper
• Almost periodic traveling waves for a nonlocal dispersal system

  2024cites this paper
• Propagation dynamics of a mutualistic model of mistletoes and birds with nonlocal dispersal

  2023cites this paper
• Existence, uniqueness and stability of forced waves for asymptotical KPP equations with the nonlocal dispersal in a shifting habitat

  2023cites this paper
• Traveling Wave for a diffusive SIR model with delay in diffusion term

  2023cites this paper
• Existence of traveling wave solutions for an infection-age structured model with population diffusion

  2023cites this paper
• Existence and stability of traveling wavefronts for a discrete diffusion system with nonlocal delay effects

  2023cites this paper
• Spatial dynamics for a time-periodic epidemic model in discrete media

  2023cites this paper
• Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment

  2023cites this paper
• Spatial Propagation for an Epidemic Model in a Patchy Environment

  2023cites this paper
• Bistable Traveling Waves in Degenerate Competitive Systems

  2023cites this paper
• Periodic traveling waves in a time periodic SEIR model with nonlocal dispersal and delay

  2023cites this paper
• Determining spreading speeds for abstract time-periodic monotone semiflows

  2023cites this paper
• Time-periodic traveling waves for a periodic Lotka-Volterra competition system with nonlocal dispersal

  2023cites this paper
• Individual-based epidemiological model of COVID19 using location data

  2022cites this paper
• Propagation dynamics in periodic predator-prey systems with nonlocal dispersal

  2022cites this paper
• Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system

  2022cites this paper
• Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies

  2022cites this paper
• Linear and nonlinear minimal speed selection of traveling waves for a competitive system with nonlocal dispersal

  2022cites this paper
• Propagation Phenomena for Man–Environment Epidemic Model with Nonlocal Dispersals

  2022cites this paper
• Traveling waves of an epidemic model with general nonlinear incidence rate and infection-age structure

  2022cites this paper
• Some remarks on lattice and nonlocal dispersal evolution systems

  2022cites this paper
• Finite or Infinite Spreading Speed of an Epidemic Model with Free Boundary and Double Nonlocal Effects

  2022influential citation
• Stability of bistable traveling wavefronts for a three species competitive-cooperative system with nonlocal dispersal

  2022cites this paper
• Stability of bistable traveling wavefronts for a three species competitive-cooperative system with nonlocal dispersal

  2022cites this paper
• Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: Spreading speed

  2022cites this paper
• Controlling the motion of a travelling wave

  2021cites this paper
• Asymptotic propagations of a nonlocal dispersal population model with shifting habitats

  2021cites this paper
• The spatial dynamics of a Zebra mussel model in river environments

  2021cites this paper
• The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence

  2021cites this paper
• The evolution dynamics of an impulsive hybrid population model with spatial heterogeneity

  2021cites this paper
• Analysis of a general multi-group reaction-diffusion epidemic model with nonlinear incidence and temporary acquired immunity

  2021cites this paper
• Recent developments on spatial propagation for diffusion equations in shifting environments

  2021cites this paper
• Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence

  2021cites this paper
• Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse

  2021cites this paper
• Periodic traveling wavefronts of a multi-type SIS epidemic model with seasonality

  2020cites this paper
• Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

  2020cites this paper
• Periodic traveling wavefronts of a multi-type SIS epidemic model with seasonality

  2020cites this paper
• Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat

  2020cites this paper
• Mixed types of waves in a discrete diffusive epidemic model with nonlinear incidence and time delay

  2020cites this paper
• Propagation Dynamics in a Time Periodic Nonlocal Dispersal Model with Stage Structure

  2020cites this paper
• Time periodic traveling waves in a three-component non-autonomous and reaction-diffusion epidemic model

  2020cites this paper
• Traveling Waves and Estimation of Minimal Wave Speed for a Diffusive Influenza Model with Multiple Strains

  2020cites this paper
• Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

  2020cites this paper
• Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay

  2020cites this paper
• Super-critical and critical traveling waves in a two-component lattice dynamical model with discrete delay

  2019cites this paper
• Unified Preventive and Reactive Cyber Defense Dynamics Is Still Globally Convergent

  2019cites this paper
• Stability of traveling wave solutions for a spatially discrete SIS epidemic model

  2019cites this paper
• Traveling Waves for a Spatial SIRI Epidemic Model

  2019cites this paper
• Traveling waves in a diffusive epidemic model with criss‐cross mechanism

  2019cites this paper
• Accelerating propagation in a recursive system arising from seasonal population models with nonlocal dispersal

  2019cites this paper
• Traveling waves of a nonlocal dispersal SEIR model with standard incidence

  2019cites this paper
• Existence and properties of traveling waves for doubly nonlocal Fisher-KPP equations

  2019cites this paper
• TRAVELING WAVES OF A NONLOCAL DIFFUSION SIRS EPIDEMIC MODEL WITH A CLASS OF NONLINEAR INCIDENCE RATES AND TIME DELAY

  2019cites this paper
• Spatial Invasion of a Birth Pulse Population with Nonlocal Dispersal

  2019cites this paper
• New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative

  2019cites this paper
• Traveling waves for a diffusive SIR-B epidemic model with multiple transmission pathways

  2019cites this paper
• Pulsating waves and entire solutions for a spatially periodic nonlocal dispersal system with a quiescent stage

  2019cites this paper
• Evolution dynamics of some population models in heterogeneous environments

  2019cites this paper
• Asymptotic spreading in a delayed dispersal predator-prey system without comparison principle

  2019cites this paper
• Propagation phenomena for a two-species Lotka–Volterra strong competition system with nonlocal dispersal

  2019cites this paper
• Propagation Dynamics in a Time Periodic Nonlocal Dispersal Model with Stage Structure

  2019cites this paper
• Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections

  2018cites this paper
• A reaction–diffusion within-host HIV model with cell-to-cell transmission

  2018cites this paper
• Traveling wave solutions in a two-group SIR epidemic model with constant recruitment

  2018cites this paper
• Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model

  2018cites this paper
• Asymptotic Speeds of Spread for a Nonlocal Diffusion Equation

  2018cites this paper
• Nonlinear stability of traveling waves for a multi-type SIS epidemic model

  2018cites this paper
• Global behavior of SIS epidemic models with age structure and spatial heterogeneity

  2018cites this paper
• Global dynamics and spreading speeds for a partially degenerate system with non-local dispersal in periodic habitats

  2018cites this paper
• Dynamics of a nonlocal multi-type SIS epidemic model with seasonality

  2018cites this paper
• Doubly nonlocal Fisher-KPP equation: Existence and properties of traveling waves

  2018cites this paper
• Critical traveling waves in a diffusive disease model

  2018cites this paper
• Traveling waves for a diffusive SIR model with delay and nonlinear incidence

  2018cites this paper
• Propagation of monostable traveling fronts in discrete periodic media with delay

  2018cites this paper
• Uniqueness and global stability of forced waves in a shifting environment

  2018cites this paper
• Global behavior of SIS epidemic models with age structure and spatial heterogeneity

  2018cites this paper
• Doubly nonlocal Fisher–KPP equation: front propagation

  2018cites this paper