期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 13, 期 6, 页码 2540-2555出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.02.016
关键词
Chemostat; Antibiotic; Competition; Nutrient recycling; Uniform persistence
资金
- NNSF of China [10961018]
- NSF of Gansu Province of China [1107RJZA088]
- NSF for Distinguished Young Scholars of Gansu Province of China [1111RJDA003]
- Special Fund for the Basic Requirements in the Research of University of Gansu Province of China
- Lanzhou University of Technology
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. (C) 2012 Elsevier Ltd. All rights reserved.
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