Asymptotic behavior of traveling waves for a nonlocal epidemic model with delay
| dc.contributor.author | Zhao, Haiqin | |
| dc.date.accessioned | 2022-06-06T16:09:08Z | |
| dc.date.available | 2022-06-06T16:09:08Z | |
| dc.date.issued | 2017-06-30 | |
| dc.description.abstract | In this article we study the traveling wave solutions of a monostable nonlocal reaction-diffusion system with delay arising from the spread of an epidemic by oral-faecal transmission. From [23], there exists a minimal wave speed c* > 0 such that a traveling wave solution exists if and only if the wave speed is above c*. In this article, we first establish the exact asymptotic behavior of the traveling waves at ±∞. Then, we construct some annihilating-front entire solutions which behave like a traveling wave front propagating from the left side (or the right side) on the x-axis or two traveling wave fronts propagating from both sides on the x-axis as t → -∞ and converge to the unique positive equilibrium as t → +∞. From the viewpoint of epidemiology, these results provide some new spread ways of the epidemic. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhao, H. (2017). Asymptotic behavior of traveling waves for a nonlocal epidemic model with delay. Electronic Journal of Differential Equations, 2017(160), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15853 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Traveling wave front | |
| dc.subject | Epidemic model | |
| dc.subject | Reaction-diffusion system | |
| dc.subject | Monostable nonlinearity | |
| dc.title | Asymptotic behavior of traveling waves for a nonlocal epidemic model with delay | |
| dc.type | Article |