The dynamics of a kinetic activator–inhibitor system
Copyright policy )The dynamics of a kinetic activator–inhibitor system
The paper deals with the analysis of a reaction-diffusion system, proposed in [Kybernetik 12, No. 1, 30--39 (1972; Zbl 1434.92013)] by \textit{A. Gierer} and \textit{H. Meinhardt}, as a model for the regeneration phenomenon of hydra. The authors study in detail the steady states and the dynamics of the kinetic system, showing that it exhibits interesting behaviour, including periodic solutions, unbounded oscillating global solutions, finite time blow-up solutions and convergent solutions.
- University of Minnesota System United States
- University of Minnesota United States
- University of Minnesota Morris United States
- Tohoku University Japan
- University of Minesota United States
Reaction–diffusion system, Qualitative theory for ordinary differential equations, Kinetic system, Qualitative investigation and simulation of ordinary differential equation models, Classical flows, reactions, etc. in chemistry, kinetic system, reaction-diffusion system, Analysis
Reaction–diffusion system, Qualitative theory for ordinary differential equations, Kinetic system, Qualitative investigation and simulation of ordinary differential equation models, Classical flows, reactions, etc. in chemistry, kinetic system, reaction-diffusion system, Analysis
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