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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 423154, 11 pages
http://dx.doi.org/10.1155/2013/423154
Research Article

Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate

1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
2Mathematics, FEIS, Swinburne University of Technology, P.O. Box 218 (H38) Hawthorn, VIC 3122, Australia

Received 4 October 2012; Revised 1 January 2013; Accepted 4 January 2013

Academic Editor: Ivanka Stamova

Copyright © 2013 Chaoqun Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [10 citations]

The following is the list of published articles that have cited the current article.

  • Jinqing Zhao, Maoxing Liu, Wanwan Wang, and Panzu Yang, “The Stability of SI Epidemic Model in Complex Networks with Stochastic Perturbation,” Abstract and Applied Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Dan Li, Jing'an Cui, and Guohua Song, “Permanence and extinction for a single-species system with jump-diffusion,” Journal of Mathematical Analysis and Applications, 2015. View at Publisher · View at Google Scholar
  • Chaoqun Xu, Sanling Yuan, and Tonghua Zhang, “Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients,” International Journal of Bifurcation and Chaos, vol. 26, no. 10, pp. 1650173, 2016. View at Publisher · View at Google Scholar
  • Chaoqun Xu, and Sanling Yuan, “Competition in the chemostat: A stochastic multi-species model and its asymptotic behavior,” Mathematical Biosciences, 2016. View at Publisher · View at Google Scholar
  • Mingjuan Sun, and Qinglai Dong, “Dynamical behavior of a stochastic ratio-dependent Chemostat model,” Shenzhen Daxue Xuebao (Ligong Ban)/Journal of Shenzhen University Science and Engineering, vol. 33, no. 4, pp. 425–431, 2016. View at Publisher · View at Google Scholar
  • Sanling Yuan, Xuehui Ji, and Huaiping Zhu, “Analysis of a stochastic model for algal bloom with nutrient recycling,” International Journal of Biomathematics, vol. 9, no. 6, 2016. View at Publisher · View at Google Scholar
  • Qiumei Zhang, and Daqing Jiang, “Competitive exclusion in a stochastic chemostat model with Holling type II functional response,” Journal of Mathematical Chemistry, 2016. View at Publisher · View at Google Scholar
  • Liang Wang, Daqing Jiang, and Donal O’Regan, “The periodic solutions of a stochastic chemostat model with periodic washout rate,” Communications in Nonlinear Science and Numerical Simulation, 2016. View at Publisher · View at Google Scholar
  • Mingjuan Sun, Qinglai Dong, and Jing Wu, “Asymptotic behavior of a Lotka–Volterra food chain stochastic model in the Chemostat,” Stochastic Analysis and Applications, vol. 35, no. 4, pp. 645–661, 2017. View at Publisher · View at Google Scholar
  • Jian Zhang, Anqi Miao, and Tongqian Zhang, “Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism,” Mathematical Problems in Engineering, vol. 2017, pp. 1–11, 2017. View at Publisher · View at Google Scholar