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January  2002, 8(1): 147-162. doi: 10.3934/dcds.2002.8.147

Global bifurcation structure of stationary solutions for a Lotka-Volterra competition model

Yukio Kan-On 1,

1. 

Department of Mathematics, Faculty of Education, Ehime University, Matsuyama, 790-8577, Japan

Received  March 2001 Revised  May 2001 Published  October 2001

In this paper, we establish the global bifurcation structure of positive stationary solutions for a certain Lotka-Volterra competition model with diffusion. To do this, the comparison principle and the bifurcation theory are employed.
Keywords: comparison principle., Competition model, global bifurcation.
Mathematics Subject Classification: 35B3.
Citation: Yukio Kan-On. Global bifurcation structure of stationary solutions for a Lotka-Volterra competition model. Discrete & Continuous Dynamical Systems, 2002, 8 (1) : 147-162. doi: 10.3934/dcds.2002.8.147
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