%0 Journal Article %1 durrett2007width %A Durrett, Rick %A Zähle, Iljana %D 2007 %J Stochastic Process. Appl. %K hybrid_zone particle_system spatial_structure voter_model %N 12 %P 1751--1763 %R 10.1016/j.spa.2006.05.017 %T On the width of hybrid zones %U http://dx.doi.org/10.1016/j.spa.2006.05.017 %V 117 %X Hybrid zones occur when two species are found in close proximity and interbreeding occurs, but the species’ characteristics remain distinct. These systems have been treated in the biology literature using partial differential equations models. Here we investigate a stochastic spatial model and prove the existence of a stationary distribution that represents the hybrid zone in equilibrium. We calculate the width of the hybrid zone, which agrees with the PDE formula only in dimensions d≥3. Our results also give insight into properties of hybrid zones in patchy environments.

@article{durrett2007width, abstract = {Hybrid zones occur when two species are found in close proximity and interbreeding occurs, but the species’ characteristics remain distinct. These systems have been treated in the biology literature using partial differential equations models. Here we investigate a stochastic spatial model and prove the existence of a stationary distribution that represents the hybrid zone in equilibrium. We calculate the width of the hybrid zone, which agrees with the PDE formula only in dimensions d≥3. Our results also give insight into properties of hybrid zones in patchy environments.}, added-at = {2012-08-24T19:36:01.000+0200}, author = {Durrett, Rick and Z{\"a}hle, Iljana}, biburl = {https://www.bibsonomy.org/bibtex/251c807ad4698ac05c7d665377c7a93c1/peter.ralph}, coden = {STOPB7}, doi = {10.1016/j.spa.2006.05.017}, fjournal = {Stochastic Processes and their Applications}, interhash = {656378aa50e03581b8d7a8e7b72ac3e9}, intrahash = {51c807ad4698ac05c7d665377c7a93c1}, issn = {0304-4149}, journal = {Stochastic Process. Appl.}, keywords = {hybrid_zone particle_system spatial_structure voter_model}, mrclass = {60K35 (60J70 92D25)}, mrnumber = {2437727 (2010d:60215)}, mrreviewer = {Martin M{\"o}hle}, number = 12, pages = {1751--1763}, timestamp = {2016-04-22T19:43:18.000+0200}, title = {On the width of hybrid zones}, url = {http://dx.doi.org/10.1016/j.spa.2006.05.017}, volume = 117, year = 2007 }