Peer-to-peer (P2P) networks, together with other distributed systems, must meet strict efficiency requirements in terms of the information dissemination process. Rapid message transmission affects the entire functionality of the network, including data processing, attack resistance, topology changes, etc. In this article, we look at the most common network protocols based on gossip, explore and compare several approaches to improve the information dissemination model. We describe the Neo blockchain network protocol, which extends gossip algorithms to distribute messages over a P2P network. Based on the simulation results, we build a model of the Neo blockchain network protocol and evaluate the effectiveness of the Neo network protocol in terms of reactive message processing in several scenarios, propose protocol improvements and evaluate the resulting performance gain.