Plasmid-bearing,plasmid-free organisms competing for two complementary nutrients in a chemostat |
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| Authors: | Hsu Sze-Bi Tzeng Yun-Huei |
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| Affiliation: | Department of Mathematics, National Tsing-Hua University, Hsinchu 30043, Taiwan, ROC. sbhsu@math.nthu.edu.tw |
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| 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]. |
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| Keywords: | 92A15 92A17 34C15 34C35 |
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