A competitive model in a chemostat with nutrient recycling and antibiotic treatment |
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| Authors: | Mei Lin Hai-Feng Huo Yu-Ning Li |
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| Institution: | 1. Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, PR China;2. Department of Pediatrics, First Hospital of Lanzhou University, Lanzhou, Gansu 730000, PR China |
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| Abstract: | 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. |
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