New result on the model-based biological control of the chemostat

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• 作者：Neli S. Dimitrova^a ; ^{nelid@math.bas.bg" class="auth_mail} ; Mikhail I. Krastanov^a ; ^b ; ^{krastanov@fmi.uni-sofia.bg" class="auth_mail} ; ^{krast@math.bas.bg" class="auth_mail}
• 关键词：Chemostat model ; Competitive exclusion principle ; Nonmonotone response functions ; Distinct removal rates ; Global stability ; Biological control
• 刊名：Applied Mathematics and Computation
• 出版年：15 June 2014
• 年：2014
• 卷：237
• 期：Complete
• 页码：686-694
• 全文大小：466 K

文摘

We investigate a known competition model of the chemostat with general (nonmonotone) response functions and distinct removal rates. Based on the competitive exclusion principle, Rapaport and Harmand (2008) [13] established the concept of the so called biological control. The proof of the latter result is based on a theorem of Li (1998) [11]. Here we first propose a modification of Li’s theorem and then present an extension of the biological control concept.