Bulletin of the Korean Mathematical Society (대한수학회보)

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GLOBAL ASYMPTOTIC STABILITY OF POSITIVE STEADY STATES OF AN n-DIMENSIONAL RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION

  • Zhou, Jun (School of Mathematics and Statistics Southwest University)
  • Received : 2012.03.05
  • Published : 2013.11.30
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Abstract

The main concern of this paper is to study the dynamics of an n-dimensional ratio-dependent predator-prey system with diffusion. We study the dissipativeness, persistence of the system and it is shown that the unique positive constant steady state is globally asymptotically stable under some assumptions.

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References

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