Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
type: Item
instance of: scholarly article
title: Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
zbMATH Open document ID: 1383.35232
author: Jiangbo Zhou
author: Jing Xu
author: Jingdong Wei
author: Haimei Xu
published in: Nonlinear Analysis. Real World Applications
publication date: 2018-02-15T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 6839542
zbMATH Keywords: SIR epidemic model
zbMATH Keywords: nonlocal dispersal
zbMATH Keywords: traveling wave solution
zbMATH Keywords: Schauder's fixed point theorem
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2017.10.016
OpenAlex ID: W2767489604
cites work: Traveling waves in a delayed SIR epidemic model with nonlinear incidence
cites work: Travelling waves of a delayed SIRS epidemic model with spatial diffusion
cites work: Traveling waves of the spread of avian influenza
cites work: Travelling wave solutions for an infection-age structured model with diffusion
cites work: Travelling wave solutions in multigroup age-structured epidemic models
cites work: Traveling waves in a Kermack-Mckendrick epidemic model with diffusion and latent period
cites work: An Introduction to Delay Differential Equations with Applications to the Life Sciences
cites work: Dynamical systems in population biology
cites work: Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
cites work: Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
cites work: Traveling waves in a convolution model for phase transitions
cites work: Q4650438
cites work: The evolution of dispersal
cites work: Metastability and stability of patterns in a convolution model for phase transitions
cites work: Random dispersal vs. non-local dispersal
cites work: A nonlocal dispersal equation arising from a selection-migration model in genetics
cites work: Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
cites work: Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity
cites work: Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
cites work: Nonlocal anisotropic dispersal with monostable nonlinearity
cites work: On a non-local equation arising in population dynamics
cites work: Pulsating fronts for nonlocal dispersion and KPP nonlinearity
cites work: Entire solutions in the Fisher-KPP equation with nonlocal dispersal
cites work: Q3629127
cites work: Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
cites work: Entire solutions in nonlocal dispersal equations with bistable nonlinearity
cites work: Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
cites work: Existence and nonexistence of traveling waves for a nonlocal monostable equation
cites work: Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
cites work: Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks.
cites work: Global stability of wavefronts with minimal speeds for nonlocal dispersal equations with degenerate nonlinearity
cites work: Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
cites work: Traveling waves in a nonlocal dispersal SIR epidemic model
cites work: Uniqueness of travelling waves for nonlocal monostable equations
cites work: Traveling waves for a nonlocal dispersal SIR model with standard incidence
cites work: Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model
cites work: Asymptotic behavior of traveling fronts and entire solutions for a nonlocal monostable equation
cites work: A generalization of the Kermack-McKendrick deterministic epidemic model
cites work: Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
cites work: Decay estimates for nonlocal problems via energy methods
cites work: A nonlocal convection-diffusion equation
cites work: Existence of traveling wave solutions for influenza model with treatment
cites work: Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
cites work: Traveling waves in a diffusive influenza epidemic model with vaccination
cites work: Traveling wave fronts of reaction-diffusion systems with delay
cites work: TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
cites work: Traveling waves for a nonlocal dispersal SIR model with delay and external supplies
DOI: 10.1016/J.NONRWA.2017.10.016
description: scientific article; zbMATH DE number 6839542