Determining the competition outcome in the chemostat: General response functions and delayed growth

被引：2
|
作者：
Wang, Xinxin [1 ]
Wang, Lin [2 ]
Lu, Jinhuan [3 ]
Liu, Shengqiang [4 ]
机构：
[1] Shenyang Normal Univ, Coll Math & Systemat Sci, Shenyang 110034, Peoples R China
[2] Univ New Brunswick, Dept Math & Stat, Fredericton, NB, Canada
[3] Agr Bank China, Res & Dev Ctr, Beijing 100194, Peoples R China
[4] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 119卷
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Chemostat; Response function; Competitive exclusion; Delay; Liapunov functional; GLOBAL ASYMPTOTIC-BEHAVIOR; MODEL; EXCLUSION;
D O I：
10.1016/j.aml.2021.107173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Competitive exclusion has been proven to be true mainly for competition in the chemostat with monotone response functions. For the case with nonmonotone response functions, strong restrictions are imposed on the property of response functions in the literature to ensure the competitive exclusion. In this work, by constructing a novel Liapunov functional, we show that only one species can survive when n species are competing for a single essential resource in the chemostat. The conditions are quite generic and our result applies to chemostat competition models with differential removal rates, delayed growth, and a large class of general response functions including the simplified Holling type IV response functions. (C) 2021 Elsevier Ltd. All rights reserved.
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