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Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat
1Department of Mathematics, National Tsing-Hua University, Hsinchu 30043, Taiwan, ROC. sbhsu@math.nthu.edu.tw
Mathematical Biosciences
|September 5, 2002
Abstract:
A model of competition for two complementary nutrients between plasmid-bearing and plasmid-free organisms in a chemostat is proposed. A rigorous mathematical analysis of the global asymptotic behavior of the model is presented. The work extends the model of competition for a single-limited nutrient studied by Stephanopoulos and Lapidus [Chem. Engng. Sci. 443 (1988) 49] and Hsu, Waltman and Wolkowicz [J. Math. Biol. 32 (1994) 731].