@article{posvyanskii2013replicator,
  abstract = {A reaction--diffusion replicator equation is studied. A novel method to apply
the principle of global regulation is used to write down the model with
explicit spatial structure. Properties of stationary solutions together with
their stability are analyzed analytically, and relationships between stability
of the rest points of the non-distributed replicator equation and distributed
system are shown. A numerical example is given to show that the spatial
variable in this particular model promotes the system's permanence.},
  author = {Posvyanskii, Artem S. Novozhilov. Vladimir P. and Bratus, Alexander S.},
  interhash = {bed3ed069e133d25bd9b348acea7f207},
  intrahash = {9689f726a374bc433afaecc027ebfa00},
  note = {cite arxiv:1308.5631Comment: 24 pages},
  title = {Replicator equations and space},
  url = {http://arxiv.org/abs/1308.5631},
  year = 2013
}

{"_id":"AAkaoLrkHRZhZWh97","bibbaseid":"posvyanskii-bratus-replicatorequationsandspace-2013","downloads":0,"creationDate":"2017-11-25T00:20:57.797Z","title":"Replicator equations and space","author_short":["Posvyanskii, A. S. N. V. P.","Bratus, A. S."],"year":2013,"bibtype":"article","biburl":"http://www.bibsonomy.org/bib/author/artem?items=1000","bibdata":{"bibtype":"article","type":"article","abstract":"A reaction--diffusion replicator equation is studied. A novel method to apply the principle of global regulation is used to write down the model with explicit spatial structure. Properties of stationary solutions together with their stability are analyzed analytically, and relationships between stability of the rest points of the non-distributed replicator equation and distributed system are shown. A numerical example is given to show that the spatial variable in this particular model promotes the system's permanence.","author":[{"propositions":[],"lastnames":["Posvyanskii"],"firstnames":["Artem","S.","Novozhilov.","Vladimir","P."],"suffixes":[]},{"propositions":[],"lastnames":["Bratus"],"firstnames":["Alexander","S."],"suffixes":[]}],"interhash":"bed3ed069e133d25bd9b348acea7f207","intrahash":"9689f726a374bc433afaecc027ebfa00","note":"cite arxiv:1308.5631Comment: 24 pages","title":"Replicator equations and space","url":"http://arxiv.org/abs/1308.5631","year":"2013","bibtex":"@article{posvyanskii2013replicator,\n abstract = {A reaction--diffusion replicator equation is studied. A novel method to apply\r\nthe principle of global regulation is used to write down the model with\r\nexplicit spatial structure. Properties of stationary solutions together with\r\ntheir stability are analyzed analytically, and relationships between stability\r\nof the rest points of the non-distributed replicator equation and distributed\r\nsystem are shown. A numerical example is given to show that the spatial\r\nvariable in this particular model promotes the system's permanence.},\n author = {Posvyanskii, Artem S. Novozhilov. Vladimir P. and Bratus, Alexander S.},\n interhash = {bed3ed069e133d25bd9b348acea7f207},\n intrahash = {9689f726a374bc433afaecc027ebfa00},\n note = {cite arxiv:1308.5631Comment: 24 pages},\n title = {Replicator equations and space},\n url = {http://arxiv.org/abs/1308.5631},\n year = 2013\n}\n\n","author_short":["Posvyanskii, A. S. N. V. P.","Bratus, A. S."],"key":"posvyanskii2013replicator","id":"posvyanskii2013replicator","bibbaseid":"posvyanskii-bratus-replicatorequationsandspace-2013","role":"author","urls":{"Paper":"http://arxiv.org/abs/1308.5631"},"downloads":0},"search_terms":["replicator","equations","space","posvyanskii","bratus"],"keywords":[],"authorIDs":[],"dataSources":["7supHakfuKN3wzsvy"]}