Dynamics of a stochastic SIRS epidemic model with standard incidence and vaccination.
Math Biosci Eng
; 19(10): 10618-10636, 2022 07 26.
Article
in English
| MEDLINE | ID: covidwho-2110345
ABSTRACT
A stochastic SIRS epidemic model with vaccination is discussed. A new stochastic threshold $ R_0/ $ is determined. When the noise is very low ($ R_0/ < 1 $), the disease becomes extinct, and if $ R_0/ > 1 $, the disease persists. Furthermore, we show that the solution of the stochastic model oscillates around the endemic equilibrium point and the intensity of the fluctuation is proportional to the intensity of the white noise. Computer simulations are used to support our findings.
Keywords
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Main subject:
Systemic Inflammatory Response Syndrome
/
Models, Biological
Type of study:
Observational study
Topics:
Vaccines
Limits:
Humans
Language:
English
Journal:
Math Biosci Eng
Year:
2022
Document Type:
Article
Affiliation country:
Mbe.2022496
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