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We represent several important aspects of mobility models, such as varying speed and pause times, and several border behaviors that may take place. One, two, and three-dimensional models are presented. For the two-dimensional models, we show that any regular or irregular convex polygon can be modeled, and we describe several routing strategies in two dimensions.<\/jats:p><jats:p>In all cases, the spatial node distribution obtained from the steady state analysis is presented and whenever analogous results over continuous spaces were available in the literature, the comparison with the ones obtained in this paper is shown to be coherent.<\/jats:p><jats:p>Besides showing the suitability of SAN to model this kind of reality, the paper also contributes to new findings for the modeled mobility models over a noncontinuous space.<\/jats:p>","DOI":"10.1007\/s13173-010-0026-y","type":"journal-article","created":{"date-parts":[[2011,1,11]],"date-time":"2011-01-11T09:30:38Z","timestamp":1294738238000},"page":"31-52","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Structured Markovian models for discrete spatial mobile node distribution"],"prefix":"10.1007","volume":"17","author":[{"given":"Fernando","family":"Lu\u00eds\u00a0Dotti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paulo","family":"Fernandes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina M.","family":"Nunes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,1,12]]},"reference":[{"issue":"1","key":"26_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S1570-8705(03)00043-X","volume":"2","author":"M Abolhasan","year":"2004","unstructured":"Abolhasan M, Wysocki T, Dutkiewicz E (2004) A\u00a0review of routing protocols for mobile ad hoc networks. 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