A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment
type: Item
instance of: scholarly article
title: A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment
zbMATH Open document ID: 1466.35248
author: Linhe Zhu
author: Wenshan Liu
author: Zhengdi Zhang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-17T00:00:00Z
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35Q91
zbMATH DE Number: 7360614
zbMATH Keywords: spatial heterogeneity
zbMATH Keywords: reaction-diffusion model
zbMATH Keywords: basic reproduction number
zbMATH Keywords: stability
zbMATH Keywords: uniform persistence
MaRDI profile type: Publication
full work available at URL: dcdsb.2020274
OpenAlex ID: W3083539885
cites work: Q4284440
cites work: Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
cites work: Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
cites work: Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
cites work: Reliable sideslip angle estimation of four-wheel independent drive electric vehicle by information iteration and fusion
cites work: On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
cites work: Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
cites work: Divergence theorems and the supersphere
cites work: Q4039920
cites work: Introduction to functional differential equations
cites work: The mathematics of infectious diseases
cites work: Repulsion effect on superinfecting virions by infected cells
cites work: Dynamical analysis of rumor spreading model in homogeneous complex networks
cites work: Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease)
cites work: A reaction-diffusion malaria model with incubation period in the vector population
cites work: Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence
cites work: Hopf bifurcation and hybrid control of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response
cites work: A reaction-diffusion SIS epidemic model in a time-periodic environment
cites work: Q5533735
cites work: A reaction-diffusion within-host HIV model with cell-to-cell transmission
cites work: Q4834372
cites work: Robust persistence for semidynamical systems.
cites work: Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
cites work: Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
cites work: Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
cites work: Siraru rumor spreading model in complex networks
cites work: Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
cites work: A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
cites work: Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
cites work: Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
cites work: A reaction-diffusion model of vector-borne disease with periodic delays
cites work: Theory and applications of partial functional differential equations
cites work: Global analysis of an epidemic model with nonmonotone incidence rate
cites work: Multistability and fast-slow analysis for van der Pol-Duffing oscillator with varying exponential delay feedback factor
cites work: Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment
cites work: Basic reproduction ratios for periodic compartmental models with time delay
cites work: Dynamical systems in population biology
cites work: Nonlinear dynamical analysis and control strategies of a network-based SIS epidemic model with time delay
cites work: Delay differential equations modeling of rumor propagation in both homogeneous and heterogeneous networks with a forced silence function
cites work: SIS Model of Rumor Spreading in Social Network with Time Delay and Nonlinear Functions
cites work: The dynamics analysis of a rumor propagation model in online social networks
cites work: Partial differential equation modeling of rumor propagation in complex networks with higher order of organization
cites work: A time-periodic dengue fever model in a heterogeneous environment
DOI: 10.3934/DCDSB.2020274
description: scientific article; zbMATH DE number 7360614