Advanced Studies in Pure Mathematics

On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system

Yukio Kan-on

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Abstract

In this paper, we consider radially symmetric positive stationary solutions for the competition-diffusion system which describes the dynamics of population for a two-competing-species community, and discuss the bifurcation structure of solution by employing the comparison principle and the bifurcation theory.

Article information

Source
Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 409-416

Dates
Received: 13 January 2012
Revised: 25 February 2013
First available in Project Euclid: 30 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540934238

Digital Object Identifier
doi:10.2969/aspm/06410409

Mathematical Reviews number (MathSciNet)
MR3381307

Zentralblatt MATH identifier
1342.35034

Subjects
Primary: 35B32: Bifurcation [See also 37Gxx, 37K50]

Keywords
Competition-diffusion system comparison principle radially symmetric stationary solution

Citation

Kan-on, Yukio. On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system. Nonlinear Dynamics in Partial Differential Equations, 409--416, Mathematical Society of Japan, Tokyo, Japan, 2015. doi:10.2969/aspm/06410409. https://projecteuclid.org/euclid.aspm/1540934238


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