{"title":"竞争生物物种的统计标度定律","authors":"Vinícius Barros da Silva","doi":"10.25088/complexsystems.27.4.355","DOIUrl":null,"url":null,"abstract":"Universality classes are defined for an idealized nonlinear system that governs the competition between biological species. The decay to asymptotic steady state is examined for supercritical Hopf bifurcation by considering a phenomenological approach supported by numerical simulations and confirmed by an analytical description. The formalism is general and it is expected to be universal for systems exhibiting Hopf bifurcations.","PeriodicalId":46935,"journal":{"name":"Complex Systems","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2018-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Statistical Scaling Laws for Competing Biological Species\",\"authors\":\"Vinícius Barros da Silva\",\"doi\":\"10.25088/complexsystems.27.4.355\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Universality classes are defined for an idealized nonlinear system that governs the competition between biological species. The decay to asymptotic steady state is examined for supercritical Hopf bifurcation by considering a phenomenological approach supported by numerical simulations and confirmed by an analytical description. The formalism is general and it is expected to be universal for systems exhibiting Hopf bifurcations.\",\"PeriodicalId\":46935,\"journal\":{\"name\":\"Complex Systems\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2018-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25088/complexsystems.27.4.355\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25088/complexsystems.27.4.355","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Statistical Scaling Laws for Competing Biological Species
Universality classes are defined for an idealized nonlinear system that governs the competition between biological species. The decay to asymptotic steady state is examined for supercritical Hopf bifurcation by considering a phenomenological approach supported by numerical simulations and confirmed by an analytical description. The formalism is general and it is expected to be universal for systems exhibiting Hopf bifurcations.
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