TY - JOUR
T1 - A Mathematical Analysis for the Dynamics of Multiple Languages
AU - Area , Iván
AU - Jornet , Marc
JO - CSIAM Transactions on Applied Mathematics
VL - 4
SP - 842
EP - 861
PY - 2025
DA - 2025/09
SN - 6
DO - http://doi.org/10.4208/csiam-am.SO-2024-0056
UR - https://global-sci.org/intro/article_detail/csiam-am/24504.html
KW - Language competition, mathematical model, dynamical system, simulation.
AB - <p style="text-align: justify;">In many regions of the world, languages coexist in daily life, but often one
tongue increases its use at the expense of another. In the present paper, we build a large
compartmental system of differential equations that meets the situation of two “prestigious” tongues and many local languages, whose use is reduced by social interaction. The focus is on the preferred language in social relationships for communicating,
rather than mere knowledge. We aim at stating and proving theorems on the qualitative behavior of the system. Numerical simulations illustrate the results, giving rise to
distinct dynamics.</p>