The effect of pulse vaccination and treatment on SIR epidemic model with media impact
type: Item
instance of: scholarly article
title: The effect of pulse vaccination and treatment on SIR epidemic model with media impact
zbMATH Open document ID: 1418.92167
DOI: 10.1155/2015/532494
author: Linfei Nie
author: Zhi Long He
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied. Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion. Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7025391
Wikidata QID: Q59105968
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/532494
OpenAlex ID: W1521316713
cites work: Impulsive vaccination of an SEIRS model with time delay and varying total population size
cites work: Pulse vaccination strategies in a metapopulation SIR model
cites work: Stability properties of pulse vaccination strategy in SEIR epidemic model
cites work: Periodic solutions and bifurcation in an SIS epidemic model with birth pulses
cites work: An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems
cites work: Pulse vaccination strategy in the SIR epidemic model
cites work: Backward bifurcation for pulse vaccination
cites work: New modelling approach concerning integrated disease control and cost-effectivity
cites work: Dynamic analysis of an SIR epidemic model with state dependent pulse vaccination
cites work: A state dependent pulse control strategy for a SIRS epidemic system
cites work: The dynamics of a prey-predator model with impulsive state feedback control
cites work: Integrated pest management models and their dynamical behaviour
cites work: Non-smooth plant disease models with economic thresholds
cites work: Periodic solution of the system with impulsive state feedback control
cites work: Media/psychological impact on multiple outbreaks of emerging infectious diseases
cites work: The impact of media on the control of infectious diseases
cites work: A Filippov system describing media effects on the spread of infectious diseases
cites work: Effect of media-induced social distancing on disease transmission in a two patch setting
cites work: Q3995625
cites work: Q3997135
cites work: Orbital stability of periodic solutions of autonomous systems with impulse effect
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description: scientific article; zbMATH DE number 7025391