数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 350-360.

• 论文 • 上一篇    

THE BIFURCATION ANALYSIS OF EXISTENCE AND TABILITY OF POSITIVE STEADY-STATE SOLUTION FOR A ONE-PREDATOR-TWO-PREY SYSTEM

宋开泰1, 周笠2   

  1. 1. Dept. of Math., Wuhan Univ., Wuhan 430072, China;
    2. Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan 430074, China
  • 收稿日期:1990-12-12 出版日期:1993-09-25 发布日期:1993-09-25

THE BIFURCATION ANALYSIS OF EXISTENCE AND TABILITY OF POSITIVE STEADY-STATE SOLUTION FOR A ONE-PREDATOR-TWO-PREY SYSTEM

Song Kaita1, Zhou Li2   

  1. 1. Dept. of Math., Wuhan Univ., Wuhan 430072, China;
    2. Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan 430074, China
  • Received:1990-12-12 Online:1993-09-25 Published:1993-09-25

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摘要： This paper discusses the existence and stability of steady-states for a three-dimensional system ef parabolic partial differential equations subject to Dirichlet boundary conditions, i.e. the situation in which a predator feeds on twoprey species. Resultts are obtained by the use of spectral analysis and bifurcation theory.

Abstract: This paper discusses the existence and stability of steady-states for a three-dimensional system ef parabolic partial differential equations subject to Dirichlet boundary conditions, i.e. the situation in which a predator feeds on twoprey species. Resultts are obtained by the use of spectral analysis and bifurcation theory.

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