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This paper presents a survey of analytic studies on the Delay-Tolerant Mobile Sensor Network (DTMSN). We first give an overview of the analytic study on DTMSN, by identifying several key design components, that is, nodal mobility model, data delivery scheme, and queue management scheme. Then, several representative analytic models of DTMSN are exemplified and discussed in detail, with thorough comparison presented and possible open research issues enumerated. We expect that this paper will provide a deep understanding of the characteristics of DTMSN, and at the same time reveal the key design issues in its modeling and performance analysis, leading to useful insights for future theoretic study and protocol design. Copyright © 2007 John Wiley & Sons, Ltd.