Bistable Waves in an Epidemic Model
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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.
KeywordsEpidemic model travelling waves monotone semiflows spectrum analysis global exponential stability
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