SVEIRS: A new epidemic disease model with time delays and impulsive effects
type: Item
instance of: scholarly article
title: SVEIRS: A new epidemic disease model with time delays and impulsive effects
zbMATH Open document ID: 1474.92128
DOI: 10.1155/2014/542154
author: Tongqian Zhang
author: Tonghua Zhang
author: Xinzhu Meng
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first propose a new epidemic disease model governed by system of impulsive delay differential equations. Then, based on theories for impulsive delay differential equations, we skillfully solve the difficulty in analyzing the global dynamical behavior of the model with pulse vaccination and impulsive population input effects at two different periodic moments. We prove the existence and global attractivity of the ``infection-free'' periodic solution and also the permanence of the model. We then carry out numerical simulations to illustrate our theoretical results, showing us that time delay, pulse vaccination, and pulse population input can exert a significant influence on the dynamics of the system which confirms the availability of pulse vaccination strategy for the practical epidemic prevention. Moreover, it is worth pointing out that we obtained an epidemic control strategy for controlling the number of population input.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 7022589
Wikidata QID: Q59039317
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/542154
OpenAlex ID: W2136674619
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description: scientific article; zbMATH DE number 7022589