The chemostat with lateral gene transfer
De Leenheer, P.
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We investigate the standard chemostat model when lateral gene transfer is taken into account. We will show that when the different genotypes have growth rate functions that are sufficiently close to a common growth rate function, and when the yields of the genotypes are sufficiently close to a common value, then the population evolves to a globally stable steady state, at which all genotypes coexist. These results can explain why the antibiotic-resistant strains persist in the pathogen population.
P. De Leenheer, J. Dockery, T. Gedeon and S. Pilyugin, “The chemostat with lateral gene transfer”, J. Biol. Dynamics, 4(6), p.607-620 (November 2010).