Electronic Journal of Differential Equations | |
Regular traveling waves for a reaction-diffusion equation with two nonlocal delays | |
article | |
Haiqin Zhao1  Shi-Liang Wu1  | |
[1] School of Mathematics and Statistics Xidian University Xian | |
关键词: Regular traveling fronts; reaction-diffusion equation; nonlocal delay; uniqueness; stability; | |
DOI : 10.58997/ejde.2022.82 | |
学科分类:数学(综合) | |
来源: Texas State University | |
【 摘 要 】
This article concerns regular traveling waves of a reaction-diffusion equation with two nonlocal delays arising from the study of a single species with immature and mature stages and different ages at reproduction. Establishing a necessary condition on the regular traveling waves, we prove the uniqueness of noncritical regular traveling waves, regardless of being monotone or not. Under a quasi-monotone assumption and among other things, we further show that all noncritical monotone traveling waves are exponentially stable, by establishing two comparison theorems and constructing an auxiliary lower equation.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202307120000456ZK.pdf | 314KB | download |