Time periodic traveling waves for a periodic and diffusive SIR epidemic model
type: Item
instance of: scholarly article
title: Time periodic traveling waves for a periodic and diffusive SIR epidemic model
zbMATH Open document ID: 1384.35044
author: Zhi-Cheng Wang
author: Liang Zhang
author: Xiao-Qiang Zhao
published in: Journal of Dynamics and Differential Equations
publication date: 2018-04-16T00:00:00Z
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6860338
zbMATH Keywords: periodic traveling waves
zbMATH Keywords: diffusive SIR model
zbMATH Keywords: time-\(T\) map
zbMATH Keywords: Schauder fixed point theorem
MaRDI profile type: Publication
full work available at URL: s10884-016-9546-2
OpenAlex ID: W2512705427
cites work: Periodic traveling waves and locating oscillating patterns in multidimensional domains
cites work: Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system
cites work: Q3262986
cites work: Q5440407
cites work: Mathematical Models in Population Biology and Epidemiology
cites work: Q3738973
cites work: Q4272980
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: Travelling wave solutions of diffusive Lotka-Volterra equations
cites work: Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
cites work: Variations on Barbalat's lemma
cites work: Traveling Waves for Monotone Semiflows with Weak Compactness
cites work: Bistable traveling waves for monotone semiflows with applications
cites work: Traveling wave solutions for a class of predator-prey systems
cites work: Q4189096
cites work: On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry
cites work: Wave propagation in predator–prey systems
cites work: Q4312236
cites work: TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
cites work: A geometric approach in the study of traveling waves for some classes of non-monotone reaction-diffusion systems
cites work: Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
cites work: Traveling waves in a diffusive predator-prey model with Holling type-III functional response
cites work: Traveling waves for a nonlocal dispersal SIR model with standard incidence
cites work: Spreading speeds and traveling waves for periodic evolution systems
cites work: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
cites work: Invasion traveling wave solutions of a predator-prey system
cites work: Traveling wave solutions for a predator-prey system with sigmoidal response function
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: Abstract Functional Differential Equations and Reaction-Diffusion Systems
cites work: Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
cites work: Traveling waves for nonlocal delayed diffusion equations via auxiliary equations
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Propagation of frontal polymerization—crystallization waves
cites work: On the existence of traveling waves for delayed reaction-diffusion equations
cites work: Traveling wave phenomena in a Kermack-McKendrick SIR model
cites work: Traveling waves of diffusive predator-prey systems: disease outbreak propagation
cites work: Richards model revisited: validation by and application to infection dynamics
cites work: Cylindrically symmetric travelling fronts in a periodic reaction—diffusion equation with bistable nonlinearity
cites work: Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays
cites work: Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
cites work: Traveling waves in a bio-reactor model with stage-structure
cites work: Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
cites work: Traveling waves of the spread of avian influenza
cites work: Theory and applications of partial functional differential equations
cites work: Traveling wave fronts of reaction-diffusion systems with delay
cites work: Traveling waves in a nonlocal dispersal Kermack-McKendrick epidemic model
cites work: Traveling waves in a nonlocal dispersal SIR epidemic model
cites work: Traveling waves of delayed reaction-diffusion systems with applications
cites work: Minimal wave speed for a class of non-cooperative diffusion-reaction system
cites work: Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion
cites work: Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems
cites work: Dynamical systems in population biology
DOI: 10.1007/S10884-016-9546-2
Recommended article: The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence
Recommended article: Periodic traveling waves for a diffusive SIR epidemic model with general nonlinear incidence and external supplies
Recommended article: Periodic traveling wave of a time periodic and diffusive epidemic model with nonlocal delayed transmission
Recommended article: Periodic traveling waves in SIRS endemic models
Recommended article: Critical periodic traveling waves for a periodic and diffusive epidemic model

Time periodic traveling waves for a periodic and diffusive SIR epidemic model (Recommended article)
Recommended article: Periodic wave propagation in a diffusive SIR epidemic model with nonlinear incidence and periodic environment
Similarity Score: 0.94508195
Recommender Run: Recommender Run 3

Time periodic traveling waves for a periodic and diffusive SIR epidemic model (Recommended article)
Recommended article: Periodic traveling waves in a time periodic SEIR model with nonlocal dispersal and delay
Similarity Score: 0.94202757
Recommender Run: Recommender Run 3

Time periodic traveling waves for a periodic and diffusive SIR epidemic model (Recommended article)
Recommended article: Traveling waves of an SIRS epidemic model with spatial diffusion and time delay
Similarity Score: 0.941065
Recommender Run: Recommender Run 3

Time periodic traveling waves for a periodic and diffusive SIR epidemic model (Recommended article)
Recommended article: Traveling waves of a delayed diffusive SIR epidemic model
Similarity Score: 0.9384653
Recommender Run: Recommender Run 3

Time periodic traveling waves for a periodic and diffusive SIR epidemic model (Recommended article)
Recommended article: Traveling wave solutions for a diffusive SIS epidemic model
Similarity Score: 0.9341285
Recommender Run: Recommender Run 3