Logo image
Competition and coexistence in flowing habitats with a hydraulic storage zone
Journal article   Peer reviewed

Competition and coexistence in flowing habitats with a hydraulic storage zone

James P. Grover and Feng-Bin Wang
Mathematical Biosciences, Vol.222(1), pp.42-52
11/2009

Abstract

Chemostat Coexistence Competition Flow reactor Flowing habitats Global stability Hydraulic storage zone Lower solutions Maximum principle Monotone dynamical system Theoretical ecology Upper solutions
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. © 2009 Elsevier Inc. All rights reserved.

Metrics

1 Record Views

Details

Logo image