| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1706621 | Applied Mathematical Modelling | 2010 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yun-Rui Yang, Wan-Tong Li, Guo Lin,