Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat.
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].
Department of Mathematics, National Tsing-Hua University, Hsinchu 30043, Taiwan, ROC. sbhsu@math.nthu.edu.tw
Sze-Bi
SB
Hsu
Yun-Huei
YH
Tzeng
D001419:Bacteria / Q000235:genetics* / Q000254:growth & development / Q000378:metabolism*; D019149:Bioreactors / Q000382:microbiology*; D003163:Competitive Behavior; D003470:Culture Media; D005818:Genetic Engineering; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D010957:Plasmids / Q000235:genetics* / Q000378:metabolism*; D012441:Saccharomyces cerevisiae / Q000235:genetics / Q000378:metabolism; D013395:Sucrose / Q000378:metabolism
D003470:Culture Media; D013395:Sucrose