Despite the recent growth in e-Government services, there is a paucity of research dedicated to explaining the dynamism of an e-Government network in the extant literature. The process of an e-Government service delivery is vulnerable to changes in the degree of benefits delivered to the public through the e-Government network. Therefore, we developed a theoretical model which is grounded on the actor-network theory, and formulated a mathematical model following the Bass diffusion model to explain the dynamics of various actors within an e-Government network. We also conducted a meta-ethnography study on e-Government maturity models to understand the key benefits of a mature e-Government network. Furthermore, we proposed a technique based on system dynamics modeling, which could aid appropriate authorities in forecasting network stability and monitoring performance of an e-Government network. The study may also aid future researchers, policymakers, and practitioners in conceptualizing the dynamic processes involved in e-Government service delivery.