Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system
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Date
2022-07-12
Authors
Hao, Yu-Cai
Zhang, Guo-Bao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Epidemic system, Nonlocal dispersal, Bistable traveling waves, Stability
Citation
Hao, 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.
Rights
Attribution 4.0 International