The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains.
It is often reported that an animal with spotty coat markings on its body has a tail with stripe-shaped pattern. In other various biological and chemical phenomena in/on cylinder-like domains, longitudinally periodic band patterns are observed much more often than the other non-uniform patterns. This paper mathematically explains these observations by proving that, in/on a long and narrow cylinder-like domain, any solution of reaction-diffusion system asymptotically loses its spatial dependence in the transectional/circumferential direction.
Kurata
K
K
Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo, Japan.
Kisimoto
K
K
Yanagida
E
E
D000818:Animals; D006200:Hair Color; D008433:Mathematics; D008962:Models, Theoretical