Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input-Reference-Cited by-同舟云学术

Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input

Published:2019-08 Issue:06 Volume:12 Page:1950065
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Pu Wu-Jun¹,Jiang Danhua²^ORCID,Wang Ya²,Bai Zhanbing³

Affiliation:

1. Department of Mathematics, Longnan Teachers College, Longnan, Gansu 742500, P. R. China

2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China

3. College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, P. R. China

Abstract

In this paper, a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient is proposed. By the theory of semigroup, the existence and uniqueness of solution of the system are obtained. Furthermore, we investigate a threshold result on the global dynamics, and the uniform persistence of the system is established.

Funder

NNSF

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524519500657

Reference38 articles.

1. Coexistence in the unstirred chemostat

2. Pitman Research Notes in Mathematics Series;Daners D.,1992

3. Vitamin B12and Marine Ecology. IV. The Kinetics of Uptake, Growth and Inhibition inMonochrysis Lutheri

4. Microbial Competition

5. Mechanisms That Control the Microflora in the Large Intestine

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bifurcation dynamics of a delayed chemostat system with spatial diffusion;Mathematics and Computers in Simulation;2023-03

2. Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth;Communications on Pure & Applied Analysis;2022