| Abstract: |
| In this talk, we investigate an unstirred chemostat system modeling the interactions of two essential nutrients (e.g., nitrogen and phosphorus), harmful algae (e.g., P.parvum and cyanobacteria), and a small-bodied zooplankton in an ecosystem. To obtain a weakly repelling property of a compact and invariant set on the boundary, we introduce an associated elliptic eigenvalue problem. It turns out that the model system admits a coexistence steady state and is uniformly persistent provided that the trivial steady state, two semi-trivial steady states and a global attractor on the boundary
are all weak repellers.
This talk is based on my recent work joint with Drs. Sze-Bi Hsu and Xiao-Qiang Zhao. |
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