Traveling waves in a bio-reactor model

摘要

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. (C) 2004 Elsevier Ltd. All rights reserved.