Biomedical Engineering Reference
In-Depth Information
susceptible, infected and infectious populations at all time instants which may not be
available in certain real situations. However, such a drawback can be overcome by
adding an observer to estimate online all the partial populations.
Acknowledgements. The authors thank to the Spanish Ministry of Education by its
support through Grant DPI2009-07197 and to the Basque Government by its support
through Grants IT378-10, SAIOTEK SPE07UN04 and SAIOTEK SPE09UN12.
References
1. De la Sen, M., Alonso-Quesada, S.: On Vaccination Control Tools for a General SEIR-
Epidemic Model. In: 18th Mediterranean Conference on Control & Automation, MED
2010, pp. 1322-1328 (2010), doi:10.1109/MED.2010.5547865
2. Keeling, M.J., Rohani, P.: Modeling Infectious Diseases in Humans and Animals. Prince-
ton University Press, Princeton and Oxford (2008)
3. Li, M.Y., Graef, J.R., Wang, L., Karsai, J.: Global Dynamics of a SEIR Model with Vary-
ing Total Population Size. Mathematical Biosciences 160, 191-213 (1999)
4. Makinde, O.D.: Adomian Decomposition Approach to a SIR Epidemic Model with Con-
stant Vaccination Strategy. Applied Mathematics and Computation 184, 842-848 (2007)
5. Mollison, D.: Epidemic Models: Their Structure and Relation to Data. Publications of the
Newton Institute, Cambridge University Press (2003)
6. De la Sen, M., Agarwal, R. P., Ibeas, A., Alonso-Quesada, S.: On the Existence of Equili-
brium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic
Model Under Constant and Impulsive Vaccination. Advances in Difference Equations
2011, Article ID 748608, 32 pages (2011), doi:10.1155/2011/748608
7. Song, X.Y., Jiang, Y., Wei, H.M.: Analysis of a Saturation Incidence SVEIRS Epidemic
Model with Pulse and Two Time Delays. Applied Mathematics and Computation 214,
381-390 (2009)
8. Jumpen, W., Orankitjaroen, S., Boonkrong, P., Wiwatanapataphee, B.: SEIQR-SIS Epi-
demic Network Model and Its Stability. International Journal of Mathematics and Com-
puters in Simulation 5, 326-333 (2011)
9. Safi, M.A., Gumel, A.B.: Mathematical Analysis of a Disease Transmission Model with
Quarantine, Isolation and an Imperfect Vaccine. Computers and Mathematics with Appli-
cations 61, 3044-3070 (2011)
10. De la Sen, M., Agarwal, R.P., Ibeas, A., Alonso-Quesada, S.: On a Generalized Time-
Varying SEIR Epidemic Model with Mixed Point and Distributed Time-Varying Delays
and Combined Regular and Impulsive Vaccination Controls. Advances in Difference Equ-
ations 2010, Article ID 281612, 42 pages (2010), doi:10.1155/2010/281612
11. Zhang, T.L., Liu, J.L., Teng, Z.D.: Dynamic Behaviour for a Nonautonomous SIRS Epidemic
Model with Distributed Delays. Applied Mathematics and Computation 214, 624-631 (2009)
12. Xu, R., Ma, Z., Wang, Z.: Global Stability of a Delayed SIRS Epidemic Model with Satu-
ration Incidence and Temporary Immunity. Computers and Mathematics with Applica-
tions 59, 3211-3221 (2010)
13. Mukhopadhyay, B., Bhattacharyya, R.: Existence of Epidemic Waves in a Disease Trans-
mission Model with Two-Habitat Population. International Journal of Systems Science 38,
699-707 (2007)
14. Isidori, A.: Nonlinear Control Systems. Springer, London (1995)
15. Fulton, W., Harris, J.D.: Representation Theory. Springer, New York (1991)
Search WWH ::




Custom Search