We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed to model coat patterns in leopard and jaguar.
@article{702977,
title = {On the number of stationary patterns in reaction-diffusion systems},
booktitle = {Application of Mathematics 2015},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2015},
pages = {206-216},
zbl = {06669931},
url = {http://dml.mathdoc.fr/item/702977}
}
Rybář, Vojtěch; Vejchodský, Tomáš. On the number of stationary patterns in reaction-diffusion systems, dans Application of Mathematics 2015, GDML_Books, (2015), pp. 206-216. http://gdmltest.u-ga.fr/item/702977/