In any developing nation such as Nigeria, the level of her telecommunication and ICT development is an issue that requires adequate planning especially when consideration is given to the amount of traffic and the available bandwidth in the system. Tourism is one of the areas that the Nigerian Government is considering as a source of internally generated revenue and therefore, infrastructure such as traffic free wireless communication system and fast internet accesss need to be provided to woo tourists and make them feel at home. This cannot be achieved unless the traffic is modeled and its analyzed .Yankari Game Reserve is one of the tourist attraction located in Bauchi state, north-eastern Nigeria. Wireless Communication and internet traffic is analysed in this paper using erlang models to improve the systems quality of service. It is shown that a multi-server system is the most appropriate model to reduce amount of delay in a peak period. It is also proven that delay time is reduced significantly when the number of users increases in a multi-server system.