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@proceedings{1334098, author = {Pospíšil, Zdeněk}, booktitle = {ICDEA 2015. The 21st International Conference on Difference Equations and Applications}, keywords = {reaction-diffusion equation; stability; Turing effect; model of religious ideas spreading}, language = {eng}, title = {Discrete reaction-diffusion equation: An application}, url = {http://icdea.wi.pb.edu.pl/}, year = {2015} }
TY - CONF ID - 1334098 AU - Pospíšil, Zdeněk PY - 2015 TI - Discrete reaction-diffusion equation: An application KW - reaction-diffusion equation KW - stability KW - Turing effect KW - model of religious ideas spreading UR - http://icdea.wi.pb.edu.pl/ N2 - The contribution deals with a discrete counterpart of the reaction-diffusion PDE. The existence and stability of the ``spatially homogeneous'' solution is examined and an occurrence of a Turing instability is discussed. The system can be considered as a model of a ``spread of interacting ideas''. Hence, it finds an application in the generative historiography (or cliodynamics) and it may enrich a non-complete archaeological or textual record with a complementary insight. ER -
POSPÍŠIL, Zdeněk. Discrete reaction-diffusion equation: An application. In \textit{ICDEA 2015. The 21st International Conference on Difference Equations and Applications}. 2015.
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