, Volume 16, Issue 3, pp 679-707

Bistable Waves in an Epidemic Model

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abstract

The existence, uniqueness up to translation and global exponential stability with phase shift of bistable travelling waves are established for a quasimonotone reaction–diffusion system modelling man–environment–man epidemics. The methods involve phase space investigation, monotone semiflows approach and spectrum analysis.

Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday.
Supported in part by the NSERC of Canada