On the Structure of Positive Solutions for the Shigesada–Kawasaki–Teramoto Model with Large Interspecific Competition Rate

Autor:	Yukio Kan-on
Rok vydání:	2020
Předmět:	Applied Mathematics 010102 general mathematics Structure (category theory) Interspecific competition 01 natural sciences Term (time) 010101 applied mathematics Modeling and Simulation Nonlinear diffusion Statistical physics 0101 mathematics Engineering (miscellaneous) Bifurcation Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 30:2050001
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127420500017
Popis:	In this paper, we treat the competition-diffusion system with nonlinear diffusion term, which was proposed by Shigesada et al. [1979], and discuss the bifurcation structure of positive solution for the system when the interspecific competition rate is sufficiently large. To do this, we derive two kinds of limiting systems as the interspecific competition rate tends to infinity, and study the bifurcation structure of positive solution for each limiting system by employing the comparison principle and the bifurcation theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::890d0b3cff08f891b867fe3251682b70 https://doi.org/10.1142/s0218127420500017 Zobrazit plný text záznamu