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一类捕食-食饵模型平衡解的整体分歧

Global bifurcation of positive steady-state solution for a kind of predator-prey model
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摘要 利用分歧理论和谱分析的方法研究了一类捕食-食饵模型平衡解的整体分歧,得到了在以d为分歧参数的条件下,系统在半平凡解(θ0)附近出现分歧现象,得到了该模型正解存在的充分条件。 The global bifurcation of a positive steady-state solution for a kind of predator-prey model is investigated by the methods of spectral analysis and bifurcation theory. The bifurcation at the positive steady-state solution(θ, O) is acquired by treating d as a bifurcation parameter. Some sufficient conditions for the existence of positive solution are given.
作者 权利娜
出处 《计算机工程与应用》 CSCD 2013年第15期56-59,共4页 Computer Engineering and Applications
基金 陕西学前师范学院科研基金项目(No.2012KJ041)
关键词 捕食-食饵模型 整体分歧 平衡解 分歧理论 谱分析 predator-prey model global bifurcation steady-state solution bifurcation theory spectral analysis
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  • 1黑力军.一类具有扩散的互惠共食系统的存在性和全局吸引性[J].应用数学,2005,18(4):594-602. 被引量:1
  • 2钟承奎,范先令,陈文原.非线性泛函分析引论.兰州:兰州大学出版社,2004.
  • 3Korman P, Leung A. On the existence and uniqueness of positive steady state in the Voherra-Lotka ecological models with diffusion .Application Analysis, 1987 ;26 : 145--160.
  • 4Lou Yuan. Necessary and snlficient condition for the existence of positive solution of certain coop-erative system. Nonlinear Analysis 1996 ; 26(6) :1079--1095.
  • 5Li Zhengyuan, Mottonip D. Bifurcation for some systems of cooperative and predator-prey type. Journal of Partial Differential Equations, 1992 ;5:25--36.
  • 6Kim Kwang-ik, Lin Zhigui. Blow up in a three-species cooperating model. Applied Mathematics Letters ,2004 ; 17 :89-94.
  • 7Wu J H. Global bifurcation of coexistence state for the competition model in the chemostat. Nonlinear Analysis,2000 ;39 ( 7 ) : 817-835.
  • 8Smoller J. Shock waves and reaction-diffusions equations. New York : Spring-Verlag , 1983.
  • 9Crandall M G, Rabinowitz P H. Bifurcation from simple eigenvalues. Functional Analysis, 1971 ;8(2) :321--340.
  • 10Cosner C, Lazer A. Stable coexistence states in the Volterra-Lotka competition model with diffusion. Application Mathematics,1984;44: 1112-1132.

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