Dynamical stabilization of an unstable equilibrium in chemical and biological systems

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Abstract

The dynamics of two-component diffusion-reaction systems is considered. Using well-known models from population dynamics and chemical physics, it is shown that for certain parameter values the systems exhibit a rather unusual behaviour: a locally unstable equilibrium may become stable during a certain transition process, Both the analytical and numerical investigations of this phenomenon are presented in one and two spatial dimensions. © 2002 Elsevier Science Ltd. All rights reserved.

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Malchow, H., & Petrovskii, S. V. (2002). Dynamical stabilization of an unstable equilibrium in chemical and biological systems. In Mathematical and Computer Modelling (Vol. 36, pp. 307–319). https://doi.org/10.1016/S0895-7177(02)00127-9

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