Stability analysis of solutions to the reaction-diffusion equations
Wang Zi-ting · 2004
For a stable matrix A, the sufficient and necessary condition that A-D is stable for all non-negative digonal matrixes D was obtained. The implication of the minor condition and its impact on the stability and instability of constant steady-state solutions to reaction-diffusion systems were discussed. The stability and instability in reaction-diffusion systems were analyzed with the minor conditions. The stability conditions and asymptotically stable conditions for solutions to the reaction-diffusion equations were derived.