Dynamical stabilization of an unstable equilibrium in chemical and biological systems
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Publication:1410103
DOI10.1016/S0895-7177(02)00127-9zbMath1021.92026WikidataQ56989058 ScholiaQ56989058MaRDI QIDQ1410103
Horst Malchow, Sergei V. Petrovskii
Publication date: 14 October 2003
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)
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Cites Work
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- Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics.
- Critical phenomena in plankton communities: KISS model revisited
- A minimal model of pattern formation in a prey-predator system
- Travelling wave solutions of diffusive Lotka-Volterra equations
- Structure formation by active Brownian particles
- Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave
- Archetypal response patterns for open chemical systems with two components
- Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
- WAVE-SPLITTING IN THE BISTABLE GRAY-SCOTT MODEL
- The chemical basis of morphogenesis
- Ecological chaos in the wake of invasion.
- Chaotic Wakes and Other Wave-Induced Behavior in a System of Reaction–Diffusion Equations
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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