Interfaces in Activator-Inhibitor Systems : Asymptotics and Degeneracy (Viscosity Solutions of Differential Equations and Related Topics)
Kunimochi Sakamoto · Institutional Repositories DataBase (IRDB) · 2003
Asystem of reaction-diffusion equationsis called an activator-inhibitor system when the reaction terms $(f, g)$ satisfyIn such acase, $u$ is called an activator and $v$ an inhibitor.As long as the conditions in (A-I) are valid, $u$ has self-activat on and $v$ -enhancing effects, while the increase in $v$ tends to inhibit the production of both $u$ and $v$ itself.Atypical example is:For $f$ in (CAM), the condition (A-I)-(ii) is valid only for $-1<u<1$ .This is a