Exponential stability of traveling fronts in a diffusion epidemic system with delay

This paper is concerned with the stability of traveling wave fronts of a monostable reaction–diffusion epidemic system with delay. The existence and comparison theorem of solutions of the corresponding Cauchy problem in a weighted space are established for the system on R by appealing to the theorie...

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Veröffentlicht in:	Nonlinear analysis: real world applications 2011-04, Vol.12 (2), p.1223-1234
Hauptverfasser:	Yang, Yun-Rui, Li, Wan-Tong, Wu, Shi-Liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Comparison principle Decay Delay Differential equations Epidemic system Epidemics Mathematical analysis Perturbation methods Stability Traveling fronts Traveling waves Weighted-energy method
Online-Zugang:	Volltext
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