Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-06
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model.
Our basic model was enriched with the hypotheses of vertical transmission and transfer from infected to susceptible individuals, to approach the reality.
Our analysis showed that the model is well-posed.
Under some conditions imposed on the intensity of the white noise perturbation, the global stability of the system is proven.
Furthermore, the threshold of our model which determines the extinction and persistence of the disease is established.
Numerical examples are realized to prove the rigor of our theoretical results.
American Psychological Association (APA)
Kiouach, Driss& Sabbar, Yassine. 2018. Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152801
Modern Language Association (MLA)
Kiouach, Driss& Sabbar, Yassine. Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152801
American Medical Association (AMA)
Kiouach, Driss& Sabbar, Yassine. Stability and Threshold of a Stochastic SIRS Epidemic Model with Vertical Transmission and Transfer from Infectious to Susceptible Individuals. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152801