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Stationary structures in a three dimensional reaction-diffusion system

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  • Hassan, S.A.
  • Zanette, D.H.

Abstract

We study stationary structures with radial symmetry in a three dimensional reaction-diffusion system inside a sphere, with partial and total reflection and absorption at the surface. The model corresponds to a piecewise linearized mimic of the Schlögl model for bistable reaction kinetics and could be thought of as a three dimensional version of the ballast resistor system. We show that the existence of stationary solutions can depend on the system size and carry out a linear stability analysis which indicates that the system presents zones of bistability in the space of relevant parameters.

Suggested Citation

  • Hassan, S.A. & Zanette, D.H., 1995. "Stationary structures in a three dimensional reaction-diffusion system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 435-444.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:3:p:435-444
    DOI: 10.1016/0378-4371(94)00281-W
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