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Global bifurcation of a predator-prey system incorporating a prey refuge

ZHANG Li-na, LI Yan-ling, XIE Yu-long   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: ZHANG Li-na

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Abstract: A predator-prey system between two species with Holling type Ⅲ functional response incorporating a prey refuge was discussed. The existence of positive steady-state solutions was derived mainly through the global bifurcation and the maximum principle of elliptic equations. In a one dimensional case, a detailed description for the global bifurcation of the set of the non-constant steady states was given.

Key words: global bifurcation , maximum principle, Holling type Ⅲ, prey refuge

CLC Number: 

  • O175.26
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