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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 7: Analysis and Applications of PDEs in Biomathematics
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Original Articles

Uniqueness and stability for coexistence solutions of the unstirred chemostat model

Hua Nie College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, People's Republic of China
&
Jianhua Wu College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, People's Republic of ChinaCorrespondence[email protected]
Pages 1141-1159 | Received 24 Sep 2009, Accepted 27 Jan 2010, Published online: 15 Jun 2010

Citations (10)

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Read on this site (3)

Li Ma & Xianhua Xie. (2020) Bifurcation analysis of coexistent state in a delayed two-species predator-prey model. Applicable Analysis 99:7, pages 1195-1217.
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Danhua Jiang, Hua Nie & Jianhua Wu. (2017) Crowding effects on coexistence solutions in the unstirred chemostat. Applicable Analysis 96:6, pages 1016-1046.
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François Castella, Sten Madec & Yvan Lagadeuc. (2016) Global behavior of N competing species with strong diffusion: diffusion leads to exclusion. Applicable Analysis 95:2, pages 341-372.
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Articles from other publishers (7)

Li Ma & Shangjiang Guo. (2021) Bifurcation and stability of a two-species reaction–diffusion–advection competition model. Nonlinear Analysis: Real World Applications 59, pages 103241.
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Junping Shi, Yixiang Wu & Xingfu Zou. (2019) Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model. Journal of Dynamics and Differential Equations 32:2, pages 1085-1112.
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Hua Nie, Sze-bi Hsu & Jianhua Wu. (2017) A competition model with dynamically allocated toxin production in the unstirred chemostat. Communications on Pure & Applied Analysis 16:4, pages 1373-1404.
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Shanbing Li, Jianhua Wu & Yaying Dong. (2016) Bifurcation and Stability for the Unstirred Chemostat Model with Beddington-DeAngelis Functional Response. Taiwanese Journal of Mathematics 20:4.
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Hua Nie, Yuan Lou & Jianhua Wu. (2015) Competition between two similar species in the unstirred chemostat. Discrete and Continuous Dynamical Systems - Series B 21:2, pages 621-639.
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Hua Nie, Sze-Bi Hsu & Jianhua Wu. (2015) Coexistence solutions of a competition model with two species in a water column. Discrete and Continuous Dynamical Systems - Series B 20:8, pages 2691-2714.
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Hua Nie & JianHua Wu. (2012) Multiplicity results for the unstirred chemostat model with general response functions. Science China Mathematics 56:10, pages 2035-2050.
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