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Ruan, S. (1998) Turing Instability and Traveling Waves in Diffusive Plankton Models with Delayed Nutrient Recyling. IMA Journal of Applied Mathematics, 61, 15-32. https://doi.org/10.1093/imamat/61.1.15

has been cited by the following article:

• TITLE: On a Hibernation Plankton-Nutrient Chemostat Model with Delayed Response in Growth

  AUTHORS: Juan Ma, Mehbuba Rehim

  KEYWORDS: Chemostat Model, Hibernation, Delayed Response in Growth, Permanence, Extinction

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.1, January 4, 2017

  ABSTRACT: In this paper, a hibernation plankton-nutrient chemostat model with delayed response in growth is considered. By using the stroboscopic map and the theorem of impulsive delay differential equation, a plankton-extinction boundary periodic solution is obtained. The sufficient conditions on the permanence and globally attractive of the chemostat system are also obtained. Our main results reveal that the delayed response in growth plays an important role on the dynamical behaviors of system.