A note on positive non-constant steady-state solutions to a reaction-diffusion model

  • Dong W
  • Wei Z
  • Pang C
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Abstract

In the present paper, we investigate a reaction-diffusion system with feedback effect subject to the homogeneous Neumann boundary condition and study the positive steady-state solutions. We establish a priori estimates for positive steady-state solutions and derive some results for non-existence of positive non-constant steady-state solutions. Our analysis complements the existing results on this model. © 2010 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • A reaction-diffusion model
  • Feedback effect
  • Non-existence
  • Positive steady states

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Authors

  • Wei Dong

  • Zhongli Wei

  • Changci Pang

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