Message propagation in a cooperative network with asynchronous receptions

We consider a wireless network in which a single source transmits its message with the help of multiple cooperative relays. In our model, the source broadcasts the message and the relays retransmit it as soon as they are able to produce an inference of acceptable quality. If the network is dense, multiple nodes quasi-synchronously retransmit the source message, acting as groups of cooperative relays, thereby increasing the range of transmission. We analyze the behavior of such cooperative networks with respect to parameters such as the source and relay transmission powers by deriving a dynamic system model using a continuum asymptote as the number of relay nodes goes to infinity. The methodology developed can be used to analyze the performance of other cooperative protocols.