| Abstract: |
| In this talk we present a PDE system modeling the growth of a single species population consuming inorganic carbon that is stored internally in a poorly mixed habitat. Inorganic carbon takes the forms of CO2 (dissolved CO2 and carbonic acid) and CARB (bicarbonate and carbonate ions), which are substitutable in their effects on algal growth. We first establish a threshold type result on the extinction and persistence of the species in terms of the sign of a principal eigenvalue associated with a nonlinear eigenvalue problem. |
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