A study on a Ivlev-type Chemostat model with one competitor producing a toxin
In order to illustrate the phenomena microorganisms produce toxins to compete with its competitors,a Chemostat model of two competitors for single nutrient with Ivlev-type functional response is investigated.The existence of its solutions is analysed,and the local asymptotic stability of the models equilibria is obtained.By use of the theory of limit systems and Lyapunov-LaSalle invariant principle,it is shown that its equilibria are globally asymptotically stable under some conditions.Our results demonstrate that the principle of competition exclusion is established,and under different conditions,different microorganism can beat the competition.
Mingjuan Sun
School of Mathematics and Computer Science,Yanan University,Yanan,China
国际会议
上海
英文
1-5
2017-12-28（万方平台首次上网日期，不代表论文的发表时间）