Traveling wave solutions in a delayed diffusive competition system |
| |
| Authors: | Kun Li Xiong Li |
| |
| Institution: | 1. School of Mathematical Sciences, Huaibei Normal University, Huaibei Anhui 235000, People’s Republic of China;2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People’s Republic of China |
| |
| Abstract: | In this paper we first investigate the existence of traveling wave fronts in a delayed diffusive competition system by constructing a pair of upper and lower solutions. Then we consider the asymptotic behavior of traveling wave solutions at the minus/plus infinity by means of the bilateral Laplace transform. Finally, the monotonicity and uniqueness (up to the translation) of traveling wave solutions are also obtained by the strong comparison principle and the sliding method. |
| |
| Keywords: | 35K57 35B40 34K10 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
