Synergistic effect of two inhibitors on one activator in a reaction-diffusion system.
We investigate a three-component reaction-diffusion system that describes the interaction of one activator and two inhibitors where one inhibitor acts as a traveling pulse generator of the activator and the other acts as a lateral inhibition localizer. It is numerically shown that the synergistic effect of these two inhibitors on one activator induces several spatiotemporal patterns such as destabilization and nonannihilation of traveling pulses and the occurrence and splitting of traveling spots. By using singular perturbation procedures, the stability of radially symmetric equilibrium solutions is discussed. Furthermore, we discuss how such dynamics are caused under the synergistic effect of two inhibitors.
Department of Complex Systems, School of Systems Information Science, Future University-Hakodate, Hakodate 041-8655, Japan.
Satoshi
S
Kawaguchi
Masayasu
M
Mimura