Meng, YijieWang, Yifu2021-08-182021-08-182007-10-25Meng, Y., & Wang, Y. (2007). Coexistence state of a reaction-diffusion system. <i>Electronic Journal of Differential Equations, 2007</i>(143), pp. 1-13.1072-6691https://hdl.handle.net/10877/14357Taking 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalChemostatCompetition modelPrincipal eigenvalueMaximum principleLeray-Schauder degreeArticle