The demand for radio spectrum rapidly increased in today's wireless communications industry and the cognitive radio (CR) is a promising technology which is developed to overcome these spectrum scarcities. Cognitive radio (CR) is one of the well-known sensing technologies for managing the problem of radio spectrum scarcity in the domain of wireless communication. The cognitive radio (CR) resolves the problem of radio spectrum by permitting unlicensed user (SU) frequency to use of under-utilized (Jiao et al., 2018) primary users (PUs) frequency without effecting the performance of the licensed user (PU) (Dappuri & Venkatesh, 2018). We proposed the model of a birth-death procedure for dealing with several primary users (PUs) for a cognitive transmission, in both non-periodical sensing and periodical sensing. To avoid interference the unlicensed user constantly checks the activities of licensed user for that specific channel. When the primary user comebacks on the transmission of the unlicensed user (SU), the unlicensed user will either change to some other unoccupied channel and keep signal transmitting or halt for an unoccupied channel before transmission, depending upon the licensed user activity of remaining channels. The case of several spectrum handoffs calculated on average extended delivery time (EDT) of a secondary packet in a cognitive radio network with many channels and users (Gupta et al., 2018; Gouda et al., 2018). In this paper, we investigate the birth-death procedure to analyze extended delivery time (EDT) for the unlicensed user (SU) packet transmission across several primary channels; our approach is utilized to gain the exact probability density function (PDF) and probability mass function (PMF) of the extended delivery time (EDT) of a fixed-size secondary packet. The accuracy of this alternative progress is afterward checked by numerical simulations. To the best of our knowledge, the purpose birth-death procedure to design an unlicensed user (SU) communication throughout many primary channels is totally a novel theme by switching the channel from unlicensed user (SU) to licensed user (PU) when the birth occurred and when the death come it reverse switching from licensed user (PU) to unlicensed user (SU).