Publication
Von Bertalanffy's dynamics under a polynomial correction: Allee effect and big bang bifurcation
| dc.contributor.author | Rocha, J. Leonel | |
| dc.contributor.author | Taha, A. K. | |
| dc.contributor.author | Fournier-Prunaret, D. | |
| dc.date.accessioned | 2019-03-12T10:52:55Z | |
| dc.date.available | 2019-03-12T10:52:55Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this work we consider new one-dimensional populational discrete dynamical systems in which the growth of the population is described by a family of von Bertalanffy's functions, as a dynamical approach to von Bertalanffy's growth equation. The purpose of introducing Allee effect in those models is satisfied under a correction factor of polynomial type. We study classes of von Bertalanffy's functions with different types of Allee effect: strong and weak Allee's functions. Dependent on the variation of four parameters, von Bertalanffy's functions also includes another class of important functions: functions with no Allee effect. The complex bifurcation structures of these von Bertalanffy's functions is investigated in detail. We verified that this family of functions has particular bifurcation structures: the big bang bifurcation of the so-called "box-within-a-box" type. The big bang bifurcation is associated to the asymptotic weight or carrying capacity. This work is a contribution to the study of the big bang bifurcation analysis for continuous maps and their relationship with explosion birth and extinction phenomena. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | ROCHA, José Leonel; TAHA, A. K.; FOURNIER-PRUNARET, D. – Von Bertalanffy's dynamics under a polynomial correction: Allee effect and big bang bifurcation. In NOMA15 International Workshop on Nonlinear Maps and Applications (Journal of Physics: Conference Series). Dublin, Ireland: IOP Publishing, 2016. ISSN 1742-6588. Vol. 692/Pp. 1-11 | pt_PT |
| dc.identifier.doi | 10.1088/1742-6596/692/1/012007 | pt_PT |
| dc.identifier.issn | 1742-6588 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/9707 | |
| dc.language.iso | eng | pt_PT |
| dc.publisher | IOP Publishing | pt_PT |
| dc.relation.publisherversion | https://iopscience.iop.org/article/10.1088/1742-6596/692/1/012007/pdf | pt_PT |
| dc.subject | von Bertalanffy's functions | pt_PT |
| dc.subject | Allee effect | pt_PT |
| dc.title | Von Bertalanffy's dynamics under a polynomial correction: Allee effect and big bang bifurcation | pt_PT |
| dc.type | conference object | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Jun 15-16, 2015 - Dublin, Ireland | pt_PT |
| oaire.citation.endPage | 11 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | 5th International Workshop on Nonlinear Maps and their Applications (NOMA) | pt_PT |
| oaire.citation.volume | 692 | pt_PT |
| person.familyName | Rocha | |
| person.givenName | J. Leonel | |
| person.identifier | 1869126 | |
| person.identifier.ciencia-id | 6A13-4D5A-BABA | |
| person.identifier.orcid | 0000-0001-8053-6822 | |
| person.identifier.scopus-author-id | 24829973500 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | conferenceObject | pt_PT |
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