Dynamical stabilization of an unstable equilibrium in chemical and biological systems
| Autor(en): | Malchow, H Petrovskii, SV |
Stichwörter: | BEHAVIOR; BROWNIAN PARTICLES; CHAOS; Computer Science; Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; EQUATIONS; Gray-Scott model; Mathematics; Mathematics, Applied; MODEL; PATTERN-FORMATION; predator-prey model; PREY-PREDATOR SYSTEM; reaction-diffusion systems; WAKES; WAVE; wave propagation | Erscheinungsdatum: | 2002 | Herausgeber: | PERGAMON-ELSEVIER SCIENCE LTD | Enthalten in: | MATHEMATICAL AND COMPUTER MODELLING | Band: | 36 | Ausgabe: | 3 | Startseite: | 307 | Seitenende: | 319 | Zusammenfassung: | The dynamics of two-component diffusion-reaction systems is considered. Using wellknown 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. (C) 2002 Elsevier Science Ltd. All rights reserved. |
ISSN: | 08957177 | DOI: | 10.1016/S0895-7177(02)00127-9 |
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