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We present an analytical model for end-to-end (e2e) channel systems with lossy communication (E2E-CSLC) of multihop wireless networks using Quasi-Birth Death models (QBDs). Moveover, we show that the state set of level 0 of E2E-CSLC model, i.e., S0, is an attractor according to the special structure of QBDs, which is the foundation of studying the probabilistic reachability for E2E-CSLC. Based on the analytical model, we discuss some communication performances (e.g., e2e packet loss probability, e2e delay, and e2e throughput, etc.). And a case study of E2E-CSLC shows the versatility of our analytical model. The results lead to a significantly analysis foundation and method for designing and improving e2e networks communication protocols where the underlying communication medium is faulty.