Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat

Journal of Mathematical Biology
Sze-Bi HsuFeng-Bin Wang

Abstract

This paper presents 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/persistence of the species in terms of the sign of a principal eigenvalue associated with a nonlinear eigenvalue problem. If the habitat is the unstirred chemostat, we add biologically relevant assumptions on the uptake functions and prove the uniqueness and global attractivity of the positive steady state when the species persists.

References

May 21, 1980·Journal of Theoretical Biology·A Cunningham, R M Nisbet
Mar 8, 2006·Journal of Mathematical Biology·Patrick De LeenheerChristopher A Klausmeier
May 17, 2007·Journal of Mathematical Biology·Bingtuan Li, Hal L Smith
Jan 2, 2009·The American Naturalist·James P Grover
Jun 23, 2009·The American Naturalist·Kohei YoshiyamaChristopher A Klausmeier
Aug 27, 2009·Mathematical Biosciences·James P GroverFeng-Bin Wang
Sep 10, 2015·Journal of Mathematical Biology·Hua NieJ P Grover
Jul 1, 1999·The American Naturalist·Jef HuismanFranz J Weissing

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Citations

Jul 9, 2021·Journal of Mathematical Biology·Jimin ZhangXiaoyuan Chang

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