Vaccination threshold size and backward bifurcation of SIR model with state-dependent pulse control
type: Item
instance of: scholarly article
title: Vaccination threshold size and backward bifurcation of SIR model with state-dependent pulse control
zbMATH Open document ID: 1406.92368
author: Qianqian Zhang
author: Biao Tang
author: Sanyi Tang
published in: Journal of Theoretical Biology
publication date: 2019-01-31T00:00:00Z
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7009163
zbMATH Keywords: state-dependent pulse SIR model
zbMATH Keywords: semi-trivial periodic solution
zbMATH Keywords: global stability
zbMATH Keywords: transcritical and pitchfork bifurcation
zbMATH Keywords: backward bifurcation
MaRDI profile type: Publication
Wikidata QID: Q57467594
full work available at URL: j.jtbi.2018.07.010
OpenAlex ID: W2819453093
cites work: Q4325523
cites work: Limit sets and the Poincaré-Bendixson theorem in impulsive semidynamical systems
cites work: Daniel Bernoulli's epidemiological model revisited
cites work: Stability properties of pulse vaccination strategy in SEIR epidemic model
cites work: Causes of backward bifurcations in some epidemiological models
cites work: Backward bifurcation in epidemic control
cites work: On impulsive semidynamical systems
cites work: Stability and asymptotic stability in impulsive semidynamical systems
cites work: A simple vaccination model with multiple endemic states
cites work: SVIR epidemic models with vaccination strategies
cites work: A note on semi-discrete modelling in the life sciences
cites work: A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
cites work: A mathematical model of drug resistance: Heterogeneous tumors
cites work: Pulse vaccination strategy in the SIR epidemic model
cites work: Orbital stability of periodic solutions of autonomous systems with impulse effect
cites work: Predicting the potential impact of a cytotoxic T-lymphocyte HIV vaccine: How often should you vaccinate and how strong should the vaccine be?
cites work: State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
cites work: Models for integrated pest control and their biological implications
cites work: On the continuity of the function describing the times of meeting impulsive set and its application
cites work: Global dynamics of a state-dependent feedback control system
cites work: Holling II predator-prey impulsive semi-dynamic model with complex Poincaré map
cites work: Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons
cites work: Backward bifurcation of an epidemic model with treatment
cites work: Threshold dynamics for compartmental epidemic models with impulses
cites work: Pulse HIV vaccination: feasibility for virus eradication and optimal vaccination schedule
cites work: Backward bifurcation of an epidemic model with saturated treatment function
DOI: 10.1016/J.JTBI.2018.07.010
description: scientific article; zbMATH DE number 7009163