Abstract
In this paper, the problems of chaos and chaos control for a class of susceptible-infected-removed (SIR) epidemic model with seasonal fluctuation are investigated. The seasonality in outbreak is natural among infectious diseases, as the common influenza, A type H1N1 influenza and so on. It is shown that there exist chaotic phenomena in the epidemic model. Furthermore, the tracking control method is used to control chaotic motions in the epidemic model. A feedback controller is designed to achieve tracking of an ideal output. Thus, the density of infected individuals can converge to zero, in other words, the disease can be disappeared. Finally, numerical simulations illustrate that the controller is effective. © 2013 World Scientific Publishing Company.
| Original language | American English |
|---|---|
| Article number | 1250063 |
| Journal | International Journal of Biomathematics |
| Volume | 6 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2013 |
Funding
This work was supported by the National Natural Science Foundation of China (Nos. 60974004, 61273008 and 61104003).
| Funders | Funder number |
|---|---|
| National Natural Science Foundation of China | 61104003, 60974004, 61273008 |
ASJC Scopus Subject Areas
- Modeling and Simulation
- Applied Mathematics
Keywords
- Chaos
- Differential-algebraic system
- Epidemic model
- Seasonal fluctuation
- Tracking control
- tracking control
- differential-algebraic system
- chaos
- seasonal fluctuation
Disciplines
- Mathematics
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