Analysis and Numerical Simulations of a Stochastic SEIQR Epidemic System with Quarantine-Adjusted Incidence and Imperfect Vaccination
Joint Authors
Wang, Xinzeng
Li, Fei
Meng, Xinzhu
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper considers a high-dimensional stochastic SEIQR (susceptible-exposed-infected-quarantined-recovered) epidemic model with quarantine-adjusted incidence and the imperfect vaccination.
The main aim of this study is to investigate stochastic effects on the SEIQR epidemic model and obtain its thresholds.
We first obtain the sufficient condition for extinction of the disease of the stochastic system.
Then, by using the theory of Hasminskii and the Lyapunov analysis methods, we show there is a unique stationary distribution of the stochastic system and it has an ergodic property, which means the infectious disease is prevalent.
This implies that the stochastic disturbance is conducive to epidemic diseases control.
At last, computer numerical simulations are carried out to illustrate our theoretical results.
American Psychological Association (APA)
Li, Fei& Meng, Xinzhu& Wang, Xinzeng. 2018. Analysis and Numerical Simulations of a Stochastic SEIQR Epidemic System with Quarantine-Adjusted Incidence and Imperfect Vaccination. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1132174
Modern Language Association (MLA)
Li, Fei…[et al.]. Analysis and Numerical Simulations of a Stochastic SEIQR Epidemic System with Quarantine-Adjusted Incidence and Imperfect Vaccination. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1132174
American Medical Association (AMA)
Li, Fei& Meng, Xinzhu& Wang, Xinzeng. Analysis and Numerical Simulations of a Stochastic SEIQR Epidemic System with Quarantine-Adjusted Incidence and Imperfect Vaccination. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1132174
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132174