Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays

Date

2007-01-25

Authors

Zhao, Zhihong
Xu, Yuan-Tong
Li, Yongjin

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel. The approaches used in this paper are geometric singular perturbation theory and the center manifold theorem.

Description

Keywords

Bio-reactor model, Travelling wavefronts, Distributed delay, Heteroclinic orbit, Singular perturbation theory, Center manifold theorem

Citation

Zhao, Z., Xu, Y., & Li, Y. (2007). Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays. <i>Electronic Journal of Differential Equations, 2007</i>(18), pp. 1-11.

Rights

Attribution 4.0 International

Rights Holder

Rights License