Global stability of an SIR epidemic model with time delays |
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Authors: | Edoardo Beretta Yasuhiro Takeuchi |
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Affiliation: | (1) Istituto di Biomatematica, Università, 1-61029 Urbino, Italy;(2) Department of Applied Mathematics, Faculty of Engineering, Shizuoka University, 432 Hamamatsu, Japan |
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Abstract: | An SIR disease transmission model is formulated under the assumption that the force of infection at the present time depends on the number of infectives at the past. It is shown that a disease free equilibrium point is globally stable if no endemic equilibrium point exists. Further the endemic point (if it exists) is globally stable with respect to the whole state space except the neighborhood of the disease free state.Research partly supported by the Ministry of Education, Science and Culture, Japan, Grant 05640256 |
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Keywords: | SIR epidemic models global stability Time delay Liapunov functional |
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