Summary: Sometimes additive hazard rate model becomes more important to study than the celebrated proportional hazard rate model [D. R. Cox, J. R. Stat. Soc., Ser. B 34, 187–220 (1972; Zbl 0243.62041)]. But the concept of the hazard function is sometimes abstract, in comparison to the concept of mean residual life function. In this paper, we have defined a new model called ‘dynamic additive mean residual life model’ where the covariates are time dependent, and study the closure of this model under different stochastic orders.