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NCTS Seminar in Mathematical Biology
 
14:00 - 16:00, March 3, 2017 (Friday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館四樓 B演講室)
A PDE System Modeling the Growth of Phytoplankton Consuming Inorganic Carbon with Internal Storage
Feng-Bin Wang (Chang Gung University)

Abstract

This talk 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.

This talk is based on my recent work joint with Drs. Sze-Bi Hsu and King-Yeung Lam.



 

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