Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system
| dc.contributor.author | Hao, Yu-Cai | |
| dc.contributor.author | Zhang, Guo-Bao | |
| dc.date.accessioned | 2023-04-18T15:55:11Z | |
| dc.date.available | 2023-04-18T15:55:11Z | |
| dc.date.issued | 2022-07-12 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16608 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Epidemic system | |
| dc.subject | Nonlocal dispersal | |
| dc.subject | Bistable traveling waves | |
| dc.subject | Stability | |
| dc.title | Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system | |
| dc.type | Article |