title: Competition in chemostat-type equations with two habitats.
abstract: Competition on a model with nutrient recycling is considered. The model is based on a chemostat-type equation which is used to study population dynamics of microorganisms. The model consists of four organisms competing for a limiting nutrient. Nutrient is supplied both from the in-flow of medium and a recycling with delay, the latter is generated from dead organisms by bacterial decomposition. This paper shows that the model undergoes a Hopf bifurcation through a critical value of time delay when the in-flow is small. Coexistence of four organisms competing for one limiting nutrient is indicated by numerical simulation results.
authors.affiliation: Graduate School of Science and Technology, Shizuoka University, Johoku 3-5-1, Hamamatsu, Shizuoka 432-8561, Japan. r5445020@ipc.shizuoka.ac.jp
authors.forename: Shinji
authors.initials: S
authors.lastname: Nakaoka
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Takeuchi
mesh_terms: D001419:Bacteria / Q000254:growth & development*; D018533:Biomass; D019149:Bioreactors / Q000382:microbiology*; D003163:Competitive Behavior; D003198:Computer Simulation; D017753:Ecosystem; D008954:Models, Biological; D014871:Water Microbiology