Spatial Dynamics of Competing Model in a Periodic Unstirred Chemostat with Delay
Received:May 29, 2020  Revised:November 13, 2020
Key Words: chemostat   nonlocal delay   competition exclusion principle   coexistence  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.61763040), Longnan Science and Technology Guiding Plan Program (Grant No.2019-ZD-14).
Author NameAffiliation
Wujun PU Department of Mathematics, Longnan Teachers College, Gansu 742500, P. R. China 
Ya WANG School of Mathematics and Statistics, Lanzhou University, Gansu 730000, P. R. China 
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Abstract:
      In this paper, we propose two species competition model in a chemostat that uses a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient. By the theory of semigroup, the existence and uniqueness of solution of the system is obtained. Furthermore, we show the competitive exclusion principle for the model, and the sufficient conditions of the coexistence of the system is established.
Citation:
DOI:10.3770/j.issn:2095-2651.2021.04.005
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