VEHICLE TRAVEL ASSISTANCE DEVICE

A collision avoidance ECU sets a model deceleration change amount (Jmin) to smaller value in a state in which it is difficult to reduce the speed of a host vehicle than in a state in which it is easy to reduce the speed of the host vehicle (step S17). The collision avoidance ECU calculates a first target value (AfR1) by multiplying the model deceleration change amount (Jmin) by the elapsed time (Tst) (step S19). The collision avoidance ECU obtains a subtraction value by subtracting the current reference relative deceleration (Asub) from the first target value (AfR1). Then, the collision avoidance ECU determines a target relative deceleration (Af) to be a greater value when the subtraction value is large (step S25) than when the subtraction value is small, and carries out brake control so that the reference relative deceleration (Asub) approaches the target relative deceleration (Af) (step S26).