Publication Date:
2016-01-27
Description:
In this paper, we continue the mathematical study started in (Jang et al. in J. Dyn. Differ. Equ. 16:297-320, 2004 ; Ni and Tang in Trans. Am. Math. Soc. 357:3953-3969, 2005 ) on the analytic aspects of the Lengyel-Epstein reaction-diffusion system. First, we further analyze the fundamental properties of nonconstant positive solutions. On the other hand, we continue to consider the effect of the diffusion coefficient d. We obtain another nonexistence result for the case of large d by the implicit function theory, and investigate the direction of bifurcation solutions from ( u ∗ , v ∗ ) . These results promote the Turing patterns arising from the Lengyel-Epstein reaction-diffusion system.
Print ISSN:
1687-1839
Electronic ISSN:
1687-1847
Topics:
Mathematics
Permalink