Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SPIRAL WAVE GENERATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TWO TIME DELAYS

  • GAN, WENZHEN (SCHOOL OF MATHEMATICS AND PHYSICS JIANGSU UNIVERSITY OF TECHNOLOGY) ;
  • ZHU, PENG (SCHOOL OF MATHEMATICS AND PHYSICS JIANGSU UNIVERSITY OF TECHNOLOGY)
  • Received : 2013.12.31
  • Published : 2015.07.31
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Abstract

This paper is concerned with the pattern formation of a diffusive predator-prey model with two time delays. Based upon an analysis of Hopf bifurcation, we demonstrate that time delays can induce spatial patterns under some conditions. Moreover, by use of a series of numerical simulations, we show that the type of spatial patterns is the spiral wave. Finally, we demonstrate that the spiral wave is asymptotically stable.

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References

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