Periodic solutions in a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor.
We obtain necessary and sufficient conditions on the existence of a unique positive equilibrium point and a set of sufficient conditions on the existence of periodic solutions for a 3-dimensional system which arises from a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. Our results improve the corresponding results obtained by Hsu, Luo, and Waltman [1].
Department of Mathematics, University of Pittsburgh, PA 15216, USA. sxast10@math.pitt.edu
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D000900:Anti-Bacterial Agents / Q000494:pharmacology; D019149:Bioreactors; D004352:Drug Resistance, Microbial; D005818:Genetic Engineering; D008432:Mathematical Computing; D008954:Models, Biological; D008957:Models, Genetic; D009716:Numerical Analysis, Computer-Assisted; D010507:Periodicity; D010957:Plasmids / Q000235:genetics / Q000378:metabolism*
D000900:Anti-Bacterial Agents