International Journal of Mathematical Research 2311-7427 2306-2223 International Journal of Mathematical Research On Mathematical Model for the Study of Traffic Flow on the High Ways International Journal of Mathematical Research International Journal of Mathematical Research 06-2014 2014 06-2014 06-2014 3 3 25 36 30 Nov 30 Nov This paper presents mathematical model for the study of traffic flow on the highways.  The effect of the density of cars on the overall interactions of the vehicles along a given distance of the road was investigated. We also observed that the density of cars per mile affects the net rate of interaction between them.