Extinction rate fragility in population dynamics Export

@article{citeulike:4304590, abstract = {Population extinction is a rare event which requires overcoming an effective barrier. We show that the extinction rate can be fragile: a small change in the system parameters leads to an exponentially strong change of the rate, with the barrier height depending on the parameters nonanalytically. General conditions of the fragility are established. The fragility is found in one of the best-known models of epidemiology, the SIS model. The analytical expressions are compared with simulations.}, archivePrefix = {arXiv}, author = {Khasin, M. and Dykman, M. I.}, citeulike-article-id = {4304590}, citeulike-linkout-0 = {http://arxiv.org/abs/0904.1737}, citeulike-linkout-1 = {http://arxiv.org/pdf/0904.1737}, eprint = {0904.1737}, keywords = {epidemiology, extinction, model, sis}, month = {Apr}, posted-at = {2009-04-14 09:29:58}, priority = {2}, title = {Extinction rate fragility in population dynamics}, url = {http://arxiv.org/abs/0904.1737}, year = {2009} }

TY - JOUR ID - citeulike:4304590 L3 - citeulike-article-id:4304590 N2 - Population extinction is a rare event which requires overcoming an effective barrier. We show that the extinction rate can be fragile: a small change in the system parameters leads to an exponentially strong change of the rate, with the barrier height depending on the parameters nonanalytically. General conditions of the fragility are established. The fragility is found in one of the best-known models of epidemiology, the SIS model. The analytical expressions are compared with simulations. TI - Extinction rate fragility in population dynamics KW - epidemiology KW - extinction KW - model KW - sis AU - Khasin, M AU - Dykman, MI PY - 2009/Apr/10/ UR - http://arxiv.org/abs/0904.1737 ER -