Asymptotic behavior of the solutions for a stochastic SIRS model with information intervention.
Math Biosci Eng
; 19(7): 6940-6961, 2022 05 09.
Article
in English
| MEDLINE | ID: covidwho-1884494
ABSTRACT
In this paper, a stochastic SIRS epidemic model with information intervention is considered. By constructing an appropriate Lyapunov function, the asymptotic behavior of the solutions for the proposed model around the equilibria of the deterministic model is investigated. We show the average in time of the second moment of the solutions of the stochastic system is bounded for a relatively small noise. Furthermore, we find that information interaction response rate plays an active role in disease control, and as the intensity of the response increases, the number of infected population decreases, which is beneficial for disease control.
Keywords
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Main subject:
Epidemics
/
Models, Biological
Type of study:
Experimental Studies
/
Observational study
Limits:
Humans
Language:
English
Journal:
Math Biosci Eng
Year:
2022
Document Type:
Article
Affiliation country:
Mbe.2022327
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