biologia - Studia

A MATHEMATICAL MODEL FOR AN EPIDEMIC IN AN OPEN SOCIETY
Two topics for further research are:
1. What are the limit sets for infectious disease system?
2. Has the system any periodic orbit?
REFERENCES
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Earn, D.J.D., Rohani, P., Bolker, B.M., Grenfell, B.T., (2000). A Simple Model for
Complex Dynamical Transitions in Epidemics, Science, 287, 667-670.
Farkas, M. (2001). Dynamical Models in Biology, Academic Press, San Diego.
Hethcote, H.W. (1976). Qualitative Analysis for Communicable Disease Models, Math.
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Kermack, W.O., McKendrick, A.G. (1927). A Contribution to the Mathematical Theory of
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Korobeinikov, A. , Maini, P.K. (2004). A Lyapunov Function and Global Properties for
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