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Deterministic epidemic waves of critical velocity

Published online by Cambridge University Press:  24 October 2008

K. J. Brown  and
J. Carr
K. J. Brown
Affiliation:
Heriot-Watt University
J. Carr
Affiliation:
Heriot-Watt University
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Extract

In (1) Atkinson and Reuter prove the existence of wave solutions with velocities strictly greater than some critical velocity ʗ0 of an equation associated with the deterministic model for the spread of an epidemic. The existence of wave solutions with velocity ʗ0 is left as an open question. In this note we show that Atkinson and Reuter's results and a simple limiting argument imply the existence of such wave solutions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 3 , May 1977 , pp. 431 - 433
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

(1)Atkinson, C. and Reuter, G. E. H.Deterministic epidemic waves. Math. Proc. Cambridge Philos. Soc. 80 (1976), 315–331.Google Scholar