Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
From MaRDI portal
Publication:1698356
DOI10.1016/j.nonrwa.2017.10.016zbMath1383.35232OpenAlexW2767489604MaRDI QIDQ1698356
Jing Xu, Haimei Xu, Jiangbo Zhou, Jingdong Wei
Publication date: 15 February 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.10.016
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Laplace transform (44A10) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)
Related Items (24)
Periodic wave propagation in a diffusive SIR epidemic model with nonlinear incidence and periodic environment ⋮ Traveling waves in nonlocal dispersal SIR epidemic model with nonlinear incidence and distributed latent delay ⋮ A stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate ⋮ Wave propagation in a diffusive SAIV epidemic model with time delays ⋮ Traveling wave solution with the critical speed for a diffusive epidemic system with spatio-temporal delay ⋮ Reaction-diffusion predator-prey-parasite system and spatiotemporal complexity ⋮ Wave propagation for a discrete diffusive mosquito-borne epidemic model ⋮ Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional ⋮ Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence ⋮ Wave propagation in a nonlocal dispersal SIR epidemic model with nonlinear incidence and nonlocal distributed delays ⋮ Wave propagation in a infectious disease model with non-local diffusion ⋮ Traveling wave solutions in a nonlocal dispersal SIR epidemic model with general nonlinear incidence ⋮ Time periodic traveling waves in a three-component non-autonomous and reaction-diffusion epidemic model ⋮ Traveling waves for a discrete diffusion epidemic model with delay ⋮ Wave propagation in a nonlocal diffusion epidemic model with nonlocal delayed effects ⋮ Traveling wave solutions for a class of discrete diffusive SIR epidemic model ⋮ Super-critical and critical traveling waves in a two-component lattice dynamical model with discrete delay ⋮ Asymptotic boundary and nonexistence of traveling waves in a discrete diffusive epidemic model ⋮ Mixed types of waves in a discrete diffusive epidemic model with nonlinear incidence and time delay ⋮ Traveling waves for a nonlocal dispersal vaccination model with general incidence ⋮ Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay ⋮ Traveling waves for a diffusive mosquito-borne epidemic model with general incidence ⋮ Super-critical and critical traveling waves in a three-component delayed disease system with mixed diffusion ⋮ Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
Cites Work
- Unnamed Item
- Unnamed Item
- Traveling waves for a nonlocal dispersal SIR model with delay and external supplies
- Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model
- Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
- Entire solutions in nonlocal dispersal equations with bistable nonlinearity
- Travelling waves of a delayed SIRS epidemic model with spatial diffusion
- Global stability of wavefronts with minimal speeds for nonlocal dispersal equations with degenerate nonlinearity
- Traveling waves in a Kermack-Mckendrick epidemic model with diffusion and latent period
- Decay estimates for nonlocal problems via energy methods
- Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
- Existence and nonexistence of traveling waves for a nonlocal monostable equation
- Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
- Travelling wave solutions in multigroup age-structured epidemic models
- Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay
- Nonlocal anisotropic dispersal with monostable nonlinearity
- Asymptotic behavior of traveling fronts and entire solutions for a nonlocal monostable equation
- Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
- Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats
- Entire solutions in the Fisher-KPP equation with nonlocal dispersal
- Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks.
- Traveling waves in a delayed SIR epidemic model with nonlinear incidence
- Metastability and stability of patterns in a convolution model for phase transitions
- Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen--Cahn equation.
- The evolution of dispersal
- Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
- Existence of traveling wave solutions for influenza model with treatment
- Random dispersal vs. non-local dispersal
- Traveling waves in a diffusive influenza epidemic model with vaccination
- Traveling waves in a nonlocal dispersal SIR epidemic model
- Pulsating fronts for nonlocal dispersion and KPP nonlinearity
- A nonlocal dispersal equation arising from a selection-migration model in genetics
- A nonlocal convection-diffusion equation
- Traveling waves for a nonlocal dispersal SIR model with standard incidence
- Traveling waves of the spread of avian influenza
- Uniqueness of travelling waves for nonlocal monostable equations
- TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
- Travelling wave solutions for an infection-age structured model with diffusion
- On a non-local equation arising in population dynamics
- Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- Dynamical systems in population biology
- Traveling wave fronts of reaction-diffusion systems with delay
This page was built for publication: Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate