An SIR epidemic model with free boundary
From MaRDI portal
Publication:2451844
DOI10.1016/j.nonrwa.2013.02.003zbMath1310.92054arXiv1302.0326OpenAlexW2962891488MaRDI QIDQ2451844
Kwang Ik Kim, Zhigui Lin, Qunying Zhang
Publication date: 26 May 2014
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.0326
Related Items (33)
A free boundary problem of a diffusive SIRS model with nonlinear incidence ⋮ A free boundary problem for an attraction-repulsion chemotaxis system ⋮ Traveling wave solution for a diffusive simple epidemic model with a free boundary ⋮ The risk index for an SIR epidemic model and spatial spreading of the infectious disease ⋮ Dynamical behaviour of a generalist predator-prey model with free boundary ⋮ Dynamics for an SIR epidemic model with nonlocal diffusion and free boundaries ⋮ Dynamics of an epidemic model with advection and free boundaries ⋮ The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries ⋮ Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population ⋮ The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries ⋮ The impact of human activity on the risk index and spatial spreading of dengue fever ⋮ Asymptotic stability of solutions for a diffusive epidemic model ⋮ Dynamics of nonlocal and local SIR diffusive epidemic model with free boundaries ⋮ Basic reproduction numbers for a class of reaction-diffusion epidemic models ⋮ Vanishing and spreading conditions for a free-boundary epidemic model with subclinical infections and vaccination ⋮ Spontaneous infection and periodic evolving of domain in a diffusive SIS epidemic model ⋮ A nonlocal diffusion SIR epidemic model with nonlocal incidence rate and free boundaries ⋮ Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional ⋮ A revisit to the diffusive logistic model with free boundary condition ⋮ Partial differential equation modeling of rumor propagation in complex networks with higher order of organization ⋮ A SIS reaction-diffusion-advection model in a low-risk and high-risk domain ⋮ Dynamics of a nonlocal SIS epidemic model with free boundary ⋮ A nonlocal SIS epidemic problem with double free boundaries ⋮ Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment ⋮ Simulation of emotional contagion using modified SIR model: A cellular automaton approach ⋮ Long-time dynamics of a diffusive epidemic model with free boundaries ⋮ Spreading speed of a degenerate and cooperative epidemic model with free boundaries ⋮ Dynamics of a reaction-diffusion SIRI model with relapse and free boundary ⋮ Asymptotic behavior of global solutions of an anomalous diffusion system ⋮ Spatial diffusion and periodic evolving of domain in an SIS epidemic model ⋮ Stationary patterns of a cross-diffusion epidemic model ⋮ A free boundary problem for a reaction-diffusion equation appearing in biology ⋮ The reaction-diffusion system for an SIR epidemic model with a free boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence and blowup of solutions to a free boundary problem for mutualistic model
- Threshold conditions for West Nile virus outbreaks
- Free boundary problems for some reaction-diffusion equations
- Qualitative analyses of communicable disease models
- Population size dependent incidence in models for diseases without immunity
- Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
- Stability analysis for differential infectivity epidemic models
- Global stability of an SEI epidemic model with general contact rate
- Particular symmetry in RNA sequence of SARS and the origin of SARS coronavirus
- Vanishing latent heat limit in a Stefan-like problem arising in biology.
- Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
- Qualitative analyses of SIS epidemic model with vaccination and varying total population size
- Four SEI endemic models with periodicity and separatrices
- Global dynamics of a staged progression model for infectious diseases
- A Free Boundary Problem Arising in a Model of Wound Healing
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- A parabolic variational inequality arising from the valuation of fixed rate mortgages
- Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary
- A free boundary problem for a predator–prey model
- Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem
This page was built for publication: An SIR epidemic model with free boundary