Paper Info
Title
Analytic solution of a model of language competition with bilingualism and interlinguistic similarity
Abstract
An in-depth analytic study of a model of language dynamics is presented: a model which tackles the problem of the coexistence of two languages within a closed community of speakers taking into account bilingualism and incorporating a parameter to measure the distance between languages. After previous numerical simulations, the model yielded that coexistence might lead to survival of both languages within monolingual speakers along with a bilingual community or to extinction of the weakest tongue depending on different parameters. In this paper, such study is closed with thorough analytical calculations to settle the results in a robust way and previous results are refined with some modifications. From the present analysis it is possible to almost completely assay the number and nature of the equilibrium points of the model, which depend on its parameters, as well as to build a phase space based on them. Also, we obtain conclusions on the way the languages evolve with time. Our rigorous considerations also suggest ways to further improve the model and facilitate the comparison of its consequences with those from other approaches or with real data.
Year
DOI
Venue
2013
10.1016/j.physd.2013.08.011
Physica D: Nonlinear Phenomena
Keywords
Field
DocType
Language modeling,Language competition,Social physics,Physics and society,Bilingualism,Non-linear dynamics
Applied mathematics,Nonlinear system,Mathematical analysis,Phase space,Equilibrium point,Analytic solution,Neuroscience of multilingualism,Mathematics,Language model
Journal
Volume
ISSN
Citations 
264
0167-2789
2
PageRank 
References 
Authors
0.60
4
4
Name
Order
Citations
PageRank
Victoria Otero-Espinar131.38
Luís F. Seoane232.98
Juan J. Nieto355981.45
Jorge Mira420.94