Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015), 409 - 416
On the bifurcation structure of radially symmetric positive stationary solutions for a competition-diffusion system
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.
Received: 13 January 2012
Revised: 25 February 2013
First available in Project Euclid: 30 October 2018
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35B32: Bifurcation [See also 37Gxx, 37K50]
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