JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (1): 86-91.doi: 10.6040/j.issn.1671-9352.0.2013.320

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Global behavior of solutions for a modified LeslieGower #br# predator-prey system with diffusion

ZHANG Li-na, WU Shou-yan   

  1. College of Mathematics and statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2013-07-01 Online:2014-01-20 Published:2014-01-15

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Abstract:

The global behavior of solutions for a modified Leslie-Gower predator-prey system with diffusion is discussed. It is found that the dynamical behavior of the reaction-diffusion system is similar to that of the corresponding ordinary differential system. Therefore, Turing instability can not occur for this reactiondiffusion system.

Key words: Turing instability, Leslie-Gower predator-prey model, diffusion

CLC Number: 

  • O175.26
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