title: Competition and coexistence in flowing habitats with a hydraulic storage zone.
abstract: This paper examines a model of a flowing water habitat with a hydraulic storage zone in which no flow occurs. In this habitat, one or two microbial populations grow while consuming a single nutrient resource. Conditions for persistence of one population and coexistence of two competing populations are derived from eigenvalue problems, the theory of bifurcation and the theory of monotone dynamical systems. A single population persists if it can invade the trivial steady state of an empty habitat. Under some conditions, persistence occurs in the presence of a hydraulic storage zone when it would not in an otherwise equivalent flowing habitat without such a zone. Coexistence of two competing species occurs if each can invade the semi-trivial steady state established by the other species. Numerical work shows that both coexistence and enhanced persistence due to a storage zone occur for biologically reasonable parameters.
authors.affiliation: Department of Biology and Program in Environmental and Earth Sciences, University of Texas at Arlington, Box 19498, Arlington, TX 76019, USA. grover@uta.edu
authors.forename: James P
authors.initials: JP
authors.lastname: Grover
authors.forename: Sze-Bi
authors.initials: SB
authors.lastname: Hsu
authors.forename: Feng-Bin
authors.initials: FB
authors.lastname: Wang
mesh_terms: D003198:Computer Simulation; D017753:Ecosystem; D008962:Models, Theoretical; D010839:Phytoplankton / Q000254:growth & development*; D014871:Water Microbiology