  This paper investigates the mathematical modeling and the stability of
multi-lane traffic in the microscopic scale, studying a model based on two
interaction terms. To do this we propose simple lane changing conditions and we
study the stability of the steady states starting from the model in the
one-lane case and extending the results to the generic multi-lane case with the
careful design of the lane changing rules. We compare the results with
numerical tests, that confirm the predictions of the linear stability analysis
and also show that the model is able to reproduce stop & go waves, a typical
feature of congested traffic.
