Persistence of traveling wave solutions in a bio-reactor model with nonlocal delays |
| |
| Authors: | Yun-Rui Yang Wan-Tong Li Guo Lin |
| |
| Affiliation: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China;2. School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China |
| |
| Abstract: | By considering the random migration of individuals and the period of consuming the captured nutrient, we first introduce the nonlocal delays into a bio-reactor model. The persistence of nontrivial traveling wave solutions then is proved by combining the geometric singular perturbation theory with the center manifold theorem. From the viewpoint of biology, our results indicate that the nonlocality induced by small average delays is harmless to the growth of the species. |
| |
| Keywords: | Persistence Traveling wave Singular perturbation Center manifold theorem Nonlocal delays Bio-reactor model |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
