Disease extinction and persistence in a discrete-time sis epidemic model with vaccination and varying population size

DOI10.2298/FIL1715735FzbMath1499.92106OpenAlexW2598083085MaRDI QIDQ5020914

Rahman Farnoosh, Mahmood Parsamanesh

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1715735f

zbMATH Keywords

stabilitybifurcationdifference equationvaccinationepidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Medical epidemiology (92C60) Bifurcation theory for difference equations (39A28)

Related Items (6)

On the number of periodic inspections during outbreaks of discrete-time stochastic SIS epidemic models ⋮ Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate ⋮ On the global stability of the endemic state in an epidemic model with vaccination ⋮ A discrete SIS-model built on the strictly positive scheme ⋮ Global dynamics of an epidemic model with standard incidence rate and vaccination strategy ⋮ Simple discrete SIS criss-cross model of tuberculosis in heterogeneous population of homeless and non-homeless people

Cites Work

• Unnamed Item
• Unnamed Item
• Epidemics with partial immunity to reinfection
• Bifurcation and chaos in an epidemic model with nonlinear incidence rates
• Elements of applied bifurcation theory.
• A simple vaccination model with multiple endemic states
• Global analysis of SIS epidemic models with variable total population size
• Stability analysis in a class of discrete SIRS epidemic models
• Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence
• Global stability of the endemic equilibrium of a discrete SIR epidemic model
• On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
• Global analysis for a general epidemiological model with vaccination and varying population
• The Mathematics of Infectious Diseases
• The basic reproduction number in some discrete-time epidemic models
• Integers, Polynomials, and Rings
• Stochastic differential equation systems for an SIS epidemic model with vaccination and immigration
• Population Persistence and Extinction in a Discrete-time, Stage-structured Epidemic Model
• Global stability of a discrete SIR epidemic model with vaccination and treatment
• On creation of Hopf bifurcations in discrete-time nonlinear systems
• Global stability of an SEIS epidemic model with recruitment and a varying total population size

This page was built for publication: Disease extinction and persistence in a discrete-time sis epidemic model with vaccination and varying population size