This paper deals with the stability of linear stochastic systems in the presence of sporadic measurements and communication delays. Motivated by considerations about the efficient use of the available resources, two so-called dynamic discrete-time event-triggered control (DTETC) strategies tailored to the system are designed, including some existing periodic event-triggered control strategies as particular cases. An impulsive switched system approach and a switched time-delay system approach are developed for modeling and stability analysis of the resulting closed-loop systems, respectively. In addition, it is shown that under the same decay rate, the designed dynamic DTETC may further reduce the conservatism than their static counterparts. Interestingly, the proposed impulsive switched system approach can capture the stabilizing effect of the communication delays. A numerical example is provided to illustrate the theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.