{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:49:39Z","timestamp":1772290179653,"version":"3.50.1"},"reference-count":36,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,2]]},"abstract":"<jats:p> Evolutionary patterns of change are often linked to complex coupled responses associated to predator-prey, immune system-viruses or host\u2013parasite interactions. Under some conditions, it has been postulated that the final outcome of such interactions are oscillatory patterns of genotypic and phenotypic change, generically labeled as Red Queen dynamics (RQD). In RQD, changes occur in a changing pattern ensuring the persistence of both partners at the cost of constant changing. In this paper, we analyze the dynamics of two populations of host-parasite replicators extended on a surface considering three scenarios associated to neutral landscapes on binary hypercubes. Stochastic simulations show three asymptotic dynamic states: (i) host survival and parasite extinction, (ii) host-parasite extinction, and (iii) a stable RQD scenario able to maintain chaotic oscillations. The RQD scenario is shown to be facilitated with the increase of the genotypic diversity associated to the increase of the length of the replicators. Such diversity, jointly with the inclusion of spatial degrees of freedom and mutation, can act as a stabilizing factor. <\/jats:p>","DOI":"10.1142\/s0218127407017458","type":"journal-article","created":{"date-parts":[[2007,5,14]],"date-time":"2007-05-14T11:22:06Z","timestamp":1179141726000},"page":"589-606","source":"Crossref","is-referenced-by-count":6,"title":["CHAOTIC STABILITY IN SPATIALLY-RESOLVED HOST-PARASITE REPLICATORS: THE <i>RED QUEEN<\/i> ON A LATTICE"],"prefix":"10.1142","volume":"17","author":[{"given":"JOSEP","family":"SARDANY\u00c8S","sequence":"first","affiliation":[{"name":"Complex Systems Lab (ICREA \u2014 UPF), Barcelona Biomedical Research Park (PRBB \u2014 GRIB), Dr Aiguader 80, 08003 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"RICARD V.","family":"SOL\u00c8","sequence":"additional","affiliation":[{"name":"Complex Systems Lab (ICREA \u2014 UPF), Barcelona Biomedical Research Park (PRBB \u2014 GRIB), Dr Aiguader 80, 08003 Barcelona, Spain"},{"name":"Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"The Masterpiece of Nature: The Evolution and Genetics of Sexuality","author":"Bell G.","year":"1982"},{"key":"rf2","first-page":"26","volume":"4","author":"Berryman A. A.","journal-title":"Tree"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(91)90049-F"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(80)90314-8"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1162\/106454698568422"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1994.1128"},{"key":"rf7","first-page":"399","volume":"76","author":"Crutchfield J.","journal-title":"Phys. Lett."},{"key":"rf8","volume-title":"Spirals and Spots: Novel Evolutionary Phenomena through Spatial Self-Structuring","author":"Dieckmann U.","year":"2000"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1995.0179"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1994.0028"},{"key":"rf11","volume-title":"The Hypercycle. A Principle of Natural Self-Organization","author":"Eigen M.","year":"1979"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8485(96)80009-X"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.151253198"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1126\/science.280.5365.912"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.87.9.3566"},{"key":"rf16","volume-title":"Co-Evolving Parasites Improve Simulated Evolution as an Optimization Procedure","author":"Hillis W. D.","year":"1991"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1038\/46540"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1063\/1.165882"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.068104"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90179-Q"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.88.12.5111"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1126\/science.261.5118.189"},{"key":"rf23","first-page":"866","volume":"40","author":"Radman M.","journal-title":"Nature"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1994.0025"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-6133-5"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(76)90101-8"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2001.1837"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.2307\/1941309"},{"key":"rf29","first-page":"58","volume":"1","author":"Schaffer W. M.","journal-title":"Tree"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025742505324"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(91)90052-B"},{"key":"rf32","volume-title":"The Major Transitions in Evolution","author":"Smith J. M.","year":"2001"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1063\/1.165881"},{"key":"rf34","unstructured":"B. M. R.\u00a0Stadler and P. F.\u00a0Stadler, Molecular Replicator Dynamics (2002)\u00a0pp. 1\u201330."},{"key":"rf35","volume-title":"Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering","author":"Strogatz S. H.","year":"2000"},{"key":"rf36","first-page":"1","volume":"1","author":"Van Valen L.","journal-title":"Evol. Theor."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407017458","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:58:37Z","timestamp":1565135917000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407017458"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,2]]},"references-count":36,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,2]]}},"alternative-id":["10.1142\/S0218127407017458"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407017458","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,2]]}}}