A NEW PROOF OF THE COMPETITIVE EXCLUSION PRINCIPLE IN THE CHEMOSTAT

被引：9
|
作者：
Rapaport, Alain [1 ]
Veruete, Mario [2 ]
机构：
[1] Univ Montpellier, INRA, MISTEA, Montpellier SupAgro, 2 Pl Pierre Viala, F-34060 Montpellier, France
[2] Univ Montpellier, CNRS, IMAG, Pl Eugene Bataillon, F-34090 Montpellier, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 08期
关键词：
Chemostat model; competitive exclusion; global stability; comparison principle; induction; GENERAL RESPONSE FUNCTIONS; MATHEMATICAL-MODEL; GLOBAL DYNAMICS; BEHAVIOR;
D O I：
10.3934/dcdsb.2018314
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give an new proof of the well-known competitive exclusion principle in the chemostat model with N species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species, after being ordered. It uses elementary analysis and comparisons of solutions of ordinary differential equations.
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页码：3755 / 3764
页数：10
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