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...
| Author: | |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2018 |
| Country: | Brasil |
| Institution: | UNESP |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/228661 |
| Online Access: | http://dx.doi.org/10.25088/ComplexSystems.27.4.355 http://hdl.handle.net/11449/228661 |
| Access Level: | Open access |
| Keyword: | Critical exponents Hopf bifurcation Prey-predator Scaling properties |
| _version_ | 1878767349178302464 |
|---|---|
| author | da Silva, Vinícius Barros [UNESP] |
| author_browse | da Silva, Vinícius Barros [UNESP] |
| author_facet | da Silva, Vinícius Barros [UNESP] |
| author_role | author |
| collection | Repositório Institucional da UNESP |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | BR_f1ef7bcfc7dcbc26ea6edeff060fa6a2 |
| institution | UNESP |
| instname_str | Universidade Estadual Paulista (UNESP) |
| language | eng |
| network_acronym_str | BR |
| network_name_str | Brasil |
| oai_identifier_str | oai:repositorio.unesp.br:11449/228661 |
| publishDate | 2018 |
| publishDateSort | 2018 |
| reponame_str | Repositório Institucional da UNESP |
| spelling | Statistical scaling laws for competing biological species da Silva, Vinícius Barros [UNESP] Critical exponents Hopf bifurcation Prey-predator Scaling properties 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. Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Universidade Estadual Paulista Physics Department Universidade Estadual Paulista “Júlio de Mesquita Filho” Rio Claro FAPESP: 2015/23142-0 FAPESP: 2016/18975-6 http://dx.doi.org/10.25088/ComplexSystems.27.4.355 Complex Systems, v. 27, n. 4, p. 355-367, 2018. 0891-2513 http://hdl.handle.net/11449/228661 10.25088/ComplexSystems.27.4.355 2-s2.0-85061338213 |
| spellingShingle | Statistical scaling laws for competing biological species da Silva, Vinícius Barros [UNESP] Critical exponents Hopf bifurcation Prey-predator Scaling properties |
| status_str | publishedVersion |
| title | Statistical scaling laws for competing biological species |
| title_full | Statistical scaling laws for competing biological species |
| title_fullStr | Statistical scaling laws for competing biological species |
| title_full_unstemmed | Statistical scaling laws for competing biological species |
| title_short | Statistical scaling laws for competing biological species |
| title_sort | Statistical scaling laws for competing biological species |
| topic | Critical exponents Hopf bifurcation Prey-predator Scaling properties |
| topic_facet | Critical exponents Hopf bifurcation Prey-predator Scaling properties |
| url | http://dx.doi.org/10.25088/ComplexSystems.27.4.355 http://hdl.handle.net/11449/228661 |