Convergence results for contact branching processes Export

@article{citeulike:1117748, abstract = {The link between the multi-type contact birth process and the spatial deterministic S --> I epidemic is exploited to give convergence results for a multi-type Markovian contact branching process. Let U(t) be the position of furthest spread by time t in a specific direction. The asymptotic speed of translation of the distribution function of U(t) is derived and U(t)/t is shown to converge in probability to this speed.}, author = {Rass, Linda}, citeulike-article-id = {1117748}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.mbs.2006.05.001}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6VHX-4K160Y9-1/2/65e8b358d5cb0b4bf8077c01078b49ff}, doi = {10.1016/j.mbs.2006.05.001}, journal = {Mathematical Biosciences}, keywords = {branching, epidemics, processes}, month = {January}, number = {1}, pages = {59--76}, posted-at = {2007-02-22 12:04:14}, priority = {2}, title = {Convergence results for contact branching processes}, url = {http://dx.doi.org/10.1016/j.mbs.2006.05.001}, volume = {205}, year = {2007} }

TY - JOUR ID - citeulike:1117748 L3 - citeulike-article-id:1117748 N2 - The link between the multi-type contact birth process and the spatial deterministic S --> I epidemic is exploited to give convergence results for a multi-type Markovian contact branching process. Let U(t) be the position of furthest spread by time t in a specific direction. The asymptotic speed of translation of the distribution function of U(t) is derived and U(t)/t is shown to converge in probability to this speed. IS - 1 JF - Mathematical Biosciences EP - 76 TI - Convergence results for contact branching processes VL - 205 SP - 59 KW - branching KW - epidemics KW - processes AU - Rass, Linda PY - 2007/01// UR - http://dx.doi.org/10.1016/j.mbs.2006.05.001 ER -