Global dynamics of microbial competition for two resources with internal storage. (English) Zbl 1125.92058
Summary: We study a chemostat model that describes competition between two species for two essential resources based on storage. The model incorporates internal resource storage variables that serve the direct connection between species growth and external resource availability. Mathematical analysis for the global dynamics of the model is carried out by using the monotone dynamical system theory. It is shown that the limiting system of the model basically exhibits the familiar Lotka-Volterra alternatives: competitive exclusion, coexistence, and bi-stability, and most of these results can be carried over to the original model.
MSC:
| 92D40 | Ecology |
| 37N25 | Dynamical systems in biology |
| 34D05 | Asymptotic properties of solutions to ordinary differential equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
Keywords:
Chemostat; Essential resources; Resource storage; Competitive exclusion; Coexistence; Bi-stabilityReferences:
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