| Contents |
| A kind of reaction-diffusion Seelig model is considered. Firstly, we show that the parabolic system has an invariant region in the phase plane which attracts all solutions of this system, regardless of the initial values; Secondly, we discuss the basic properties of the non-constant steady state solutions, including the a priori estimates. Then, we prove the existence and non-existence of the non-constant steady state solutions. Finally, we perform multiple bifurcation analysis to this particular reaction diffusion system. These results allow for the clearer understanding of the critical role of the system parameters in leading to the formation of spatiotemporal patterns. |
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