It is very challenging to overcome the known limitations of the current wireless sensor networks in terms of throughput, delay, and jitter while being energy efficient, in order to support multimedia applications. Nonetheless, the LEMR-multichannel (Latency, Energy, MAC and Routing) protocol, has recently been proposed as a solution to address these issues over multi-hops wireless sensor networks. LEMR-multichannel addresses the typical interference problems found in wireless networks and includes an energy-efficient new dynamic duty cycle multi-channel medium access mechanism and a coordination strategy that uses the different channels available in the single radio transceiver devices to enhance the throughput capability of the network. This paper provides an analytical model to compute the most important performance metrics of the LEMR-multichannel protocol. The model is also validated through simulation experiments.