Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine
Joint Authors
Kiouach, Driss
Boulaasair, Lahcen
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider a stochastic SIVR (susceptible-infected-vaccinated-recovered) epidemic model with imperfect vaccine.
First, we obtain critical condition under which the disease is persistent in the mean.
Second, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model.
Third, we study the extinction of the disease.
Finally, numerical simulations are given to support the analytical results.
American Psychological Association (APA)
Kiouach, Driss& Boulaasair, Lahcen. 2018. Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1175950
Modern Language Association (MLA)
Kiouach, Driss& Boulaasair, Lahcen. Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine. Journal of Applied Mathematics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1175950
American Medical Association (AMA)
Kiouach, Driss& Boulaasair, Lahcen. Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1175950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1175950