Traveling waves in a bio-reactor model |
| |
| Authors: | Hal L. Smith Xiao-Qiang Zhao |
| |
| Affiliation: | a Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA;b Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Canada NF A1C 5S7 |
| |
| Abstract: | ![]()
The existence of a family of traveling waves is established for a parabolic system modeling single species growth in a plug flow reactor, proving a conjecture of Kennedy and Aris (Bull. Math. Biol. 42 (1980) 397) for a similar system. The proof uses phase plane analysis, geometric singular perturbation theory and the center manifold theorem. |
| |
| Keywords: | Bio-reactor model Traveling waves Heteroclinic orbit Singular perturbation theory Center manifold theorem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
