Bifurcation analysis of an age-structured SIRI epidemic model
type: Item
instance of: scholarly article
title: Bifurcation analysis of an age-structured SIRI epidemic model
zbMATH Open document ID: 1471.92356
author: Xiaohong Tian
author: Rui Xu
author: Ning Bai
author: Jiazhe Lin
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-03T00:00:00Z
review text: This paper studies bifurcation analysis of an age-structured SIRI epidemic model featuring demographic features. In this model, the effects of logistic growth and age of infection on the transmission dynamics of infectious disease are considered. An abstract non-densely defined Cauchy problem is formulated for the model. The paper analyzes the existence of feasible equilibria of the system and investigates the linearized equation and its characteristic equation. Hopf bifurcation has been determined. Moreover, some numerical examples are worked out. Finally, the paper presents some sensitivity analysis for parameters including the carrying capacity of susceptible population, the rate of natural death, the rate at which recovered individuals lose immunity, and the recovery rate of the infective individuals.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7390448
zbMATH Keywords: SIRI epidemic model
zbMATH Keywords: logistic growth
zbMATH Keywords: age structure
zbMATH Keywords: Hopf bifurcation
Wikidata QID: Q104619359
MaRDI profile type: Publication
full work available at URL: mbe.2020366
OpenAlex ID: W3093765449
cites work: Global stability of an SIR epidemic model with time delays
cites work: Qualitative analyses of communicable disease models
cites work: Q3013309
cites work: Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
cites work: Global stability of an SIR epidemic model with time delay.
cites work: Final size of an epidemic for a two-group SIR model
cites work: Complete global stability for an SIR epidemic model with delay - distributed or discrete
cites work: A Deterministic Model for Herpes Infections in Human and Animal Populations
cites work: A logistic delay differential equation model for Chagas disease with interrupted spraying schedules
cites work: Disease transmission models with density-dependent demographics
cites work: Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
cites work: Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
cites work: Global stability of a delayed SIR epidemic model with density dependent birth and death rates
cites work: Population size dependent incidence in models for diseases without immunity
cites work: A stochastic SIR epidemic model with density dependent birth rate
cites work: Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment
cites work: Global stability of an age-structured cholera model
cites work: Global behavior of a multi-group SIS epidemic model with age structure
cites work: Threshold and stability results for an age-structured epidemic model
cites work: Lyapunov functional and global asymptotic stability for an infection-age model
cites work: Global Hopf bifurcation of an SIRS epidemic model with age-dependent recovery
cites work: Global analysis of an SIR epidemic model with infection age and saturated incidence
cites work: Compact attractors for time-periodic age-structured population models
cites work: On semilinear Cauchy problems with non-dense domain
cites work: Hopf bifurcation for non-densely defined Cauchy problems
cites work: Hopf bifurcation of an age-structured compartmental pest-pathogen model
cites work: Bifurcation analysis in a predator\,-\,prey system with time delay
cites work: Dynamical models of tuberculosis and their applications
cites work: Analysis of dynamics of recurrent epidemics: periodic or non-periodic
cites work: Modeling diseases with latency and relapse
cites work: A methodology for performing global uncertainty and sensitivity analysis in systems biology
cites work: Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
DOI: 10.3934/MBE.2020366
Recommended article: Bifurcation analysis of an age‐structured epidemic model with two staged‐progressions
Recommended article: Hopf bifurcation in an age-structured SIR epidemic model
Recommended article: Q5196847
Recommended article: Mathematical analysis for an age-structured SIRS epidemic model
Recommended article: Dynamical aspects of an age-structured SIR endemic model
Recommended article: An SIR pairwise epidemic model with infection age and demography
Recommended article: Q3537386
Recommended article: An age-structured SIR epidemic model with fixed incubation period of infection
Recommended article: Stability and Hopf bifurcation in an age-structured SIR epidemic model with relapse
Recommended article: A multi-group SIR epidemic model with age structure
description: scientific article; zbMATH DE number 7390448