Coexistence state of a reaction-diffusion system
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Date
2007-10-25
Authors
Meng, Yijie
Wang, Yifu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Taking the spatial diffusion into account, we consider a reaction-diffusion system that models three species on a growth-limiting, nonreproducing resources in an unstirred chemostat. Sufficient conditions for the existence of a positive solution are determined. The main techniques is the Leray-Schauder degree theory.
Description
Keywords
Chemostat, Competition model, Principal eigenvalue, Maximum principle, Leray-Schauder degree
Citation
Meng, Y., & Wang, Y. (2007). Coexistence state of a reaction-diffusion system. <i>Electronic Journal of Differential Equations, 2007</i>(143), pp. 1-13.
Rights
Attribution 4.0 International