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A competitive model in a chemostat with nutrient recycling and antibiotic treatment. (English) Zbl 1401.92069

Summary: A model for competition between antibiotic-sensitive and antibiotic-resistant bacteria with nutrient recycling and antibiotic treatment in a chemostat is considered. The sufficient and necessary conditions for boundedness of the solution and existence of non-negative equilibria are derived. The extinction and uniform persistence of antibiotic-sensitive and antibiotic-resistant bacteria are also carried out. Numerical simulations are then given to illustrate our main results.

MSC:

92C37 Cell biology
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