Dynamics of Propagation Phenomena in Biological Pattern Formation
G. Liţcanu, J. J.L. Velázquez (2010)
Mathematical Modelling of Natural Phenomena
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A large variety of complex spatio-temporal patterns emerge from the processes occurring in biological systems, one of them being the result of propagating phenomena. This wave-like structures can be modelled via reaction-diffusion equations. If a solution of a reaction-diffusion equation represents a travelling wave, the shape of the solution will be the same at all time and the speed of propagation of this shape will be a constant. Travelling wave solutions of reaction-diffusion systems...