Hao, Yu-CaiZhang, Guo-Bao2023-04-182023-04-182022-07-12Hao, Y. C., & Zhang, G. B. (2022). Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system. <i>Electronic Journal of Differential Equations, 2022</i>(49), pp. 1-21.1072-6691https://hdl.handle.net/10877/16608This article concerns the stability of traveling wavefronts for a nonlocal dispersal epidemic system. Under a bistable assumption, we first construct a pair of upper-lower solutions and employ the comparison principle to prove that the traveling wavefronts are Lyapunov stable. Then, applying the squeezing technique combining with appropriate upper-lower solutions, we show that the traveling wavefronts are globally exponentially stable. As a corollary, the uniqueness of traveling wavefronts is obtained.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalEpidemic systemNonlocal dispersalBistable traveling wavesStabilityArticle