A note on advection-diffusion cholera model with bacterial hyperinfectivity
type: Item
instance of: scholarly article
title: A note on advection-diffusion cholera model with bacterial hyperinfectivity
zbMATH Open document ID: 1485.92169
author: Xiaoqing Wu
author: Yinghui Shan
author: Jianguo Gao
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-03T00:00:00Z
review text: In the recent paper by \textit{X. Wang} and \textit{F.-B. Wang} [J. Math. Anal. Appl. 480, No. 2, Article ID 123407, 29 p. (2019; Zbl 1423.92241)] a system of advection-diffusion equations was suggested to model the transmission of cholera. The authors complement these results proving two new theorems in the paper under review. Namely, Theorem 1.2 establishes local asymptotic stability and global attractivity of the cholera-free equilibrium \(E_{0}\) for the case when the basic reproduction number \(\mathcal{R}_{0}=1.\) For \(\mathcal{R}_{0}>1,\) Theorem 1.3 furnishes sufficient conditions for global asymptotic stability of the positive equilibrium \(E^{\ast}.\)
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7390460
zbMATH Keywords: mathematical model
zbMATH Keywords: cholera
zbMATH Keywords: advection-diffusion equations
zbMATH Keywords: steady-state solutions
zbMATH Keywords: stability
zbMATH Keywords: attractivity
Wikidata QID: Q104619373
reviewed by: Svitlana P. Rogovchenko
MaRDI profile type: Publication
full work available at URL: mbe.2020378
OpenAlex ID: W3096137697
cites work: Impact of bacterial hyperinfectivity on cholera epidemics in a spatially heterogeneous environment
cites work: An age-structured model for cholera control with vaccination
cites work: Dynamics of an age-of-infection cholera model
cites work: Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model
cites work: Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
cites work: Stationary distribution of a stochastic cholera epidemic model with vaccination under regime switching
cites work: Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
cites work: Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
cites work: Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
cites work: On a vector-host epidemic model with spatial structure
cites work: Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates
cites work: Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate
cites work: Dynamical systems in population biology
cites work: Global dynamics of cholera models with differential infectivity
cites work: Stability analyses of deterministic and stochastic SEIRI epidemic models with nonlinear incidence rates and distributed delay
cites work: Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate
cites work: Q3066573
DOI: 10.3934/MBE.2020378
description: scientific article; zbMATH DE number 7390460