Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays
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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. Electronic Journal of Differential Equations, 2007(18), pp. 1-11.
Rights
Attribution 4.0 International