  We formulate and solve a model of dynamical arrest in colloids. A particle is
coupled to the bath of statistically identical particles. The dynamics is
described by Langevin equation with stochastic external force described by
telegraphic noise. The interaction with the bath is taken into account
self-consistently through the back-reaction mechanism. Dynamically induced
glass transition occurs for certain value of the coupling strength.
Edwards-Anderson parameter jumps discontinuously at the transition. Another
order parameter can be also defined, which vanishes continuously with exponent
1/2 at the critical point. Non-linear response to harmonic perturbation is
found.
