Language competition
Created by Isabelle Alvarez – July 24, 2020, 6:36 p.m. – Last updated on march 24, 2022, 11:05 a.m.
Many languages might become extinct. It is, therefore, an important challenge to understand language dynamics, and to recognise whether there are measures that can help us preserve some of them.
3-dimensional state space
1-dimensional control space
\(a'=(1-a-b)*(1-b)^c*s-a*b^c*(1-s)\)
\(b'=(1-a-b)*(1-a)^c*(1-s)-b*a^c*s\)
\(s'=u\)
\(u>=umin\)
\(u<=umax\)
Parameters: \(c\), \(umin\), \(umax\)
\(a>=amin\)
\(a<=1\)
\(b>=bmin\)
\(b<=1\)
\(s>=0\)
\(s<=1\)
\(a+b<=1\)
Parameters: \(amin\), \(bmin\)