Bifurcation structure of positive stationary solutions for a Lotka–Volterra competition model with diffusion I: Numerical verification of local structure |
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| Authors: | Yukio Kan-on |
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| Institution: | Department of Mathematics, Faculty of Education, Ehime University, Matsuyama 790-8577, Japan |
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| Abstract: | This paper is concerned with the bifurcation structure of positive stationary solutions for a generalized Lotka–Volterra competition model with diffusion. To establish the structure, the bifurcation theory and the interval arithmetic are employed. |
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| Keywords: | Competition model Bifurcation structure Interval arithmetic |
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