A Communication Network needs optimal utilization of resources such as bandwidth, routers, transmitters, etc. In this paper we have developed and analyzed a communication network with two nodes with feedback. In this network, the arrival of packets characterized by homogeneous Poisson process and transmission of both the transmitters is characterized by Poisson process. Dynamic bandwidth allocation policy is proposed by adjusting the transmission rate at every transmitter just before transmission of each packet. The model is evaluated using the difference-differential equations and a probability generating function of the number of packets in the buffer. Through mathematical modeling, performance measures including average number of packets in each buffer, the probability of emptiness of the network, the average waiting time in the buffer and in the network, the throughput of the transmitters, utilization and the variance of the number of packets in the buffer are derived under transient conditions.