Stationary structures in a three dimensional reaction-diffusion system

S.A. Hassan and D.H. Zanette

Physica A: Statistical Mechanics and its Applications, 1995, vol. 214, issue 3, 435-444

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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:214:y:1995:i:3:p:435-444

DOI: 10.1016/0378-4371(94)00281-W

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