Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate

Joint Authors

Yousfi, Noura
Koufi, Amine EL
Bennar, Abdelkrim
Adnani, Jihad

Source

International Journal of Differential Equations

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-08-21

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one.

The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established.

The presented results are demonstrated by numerical simulations.

American Psychological Association (APA)

Koufi, Amine EL& Adnani, Jihad& Bennar, Abdelkrim& Yousfi, Noura. 2019. Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1159219

Modern Language Association (MLA)

Koufi, Amine EL…[et al.]. Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate. International Journal of Differential Equations No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1159219

American Medical Association (AMA)

Koufi, Amine EL& Adnani, Jihad& Bennar, Abdelkrim& Yousfi, Noura. Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1159219

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1159219