Deterministic epidemic waves of critical velocity
- 1 May 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 81 (3) , 431-433
- https://doi.org/10.1017/s0305004100053494
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Deterministic epidemic wavesMathematical Proceedings of the Cambridge Philosophical Society, 1976