Generalized models from Beta(p, 2) densities with strong Allee effect: Dynamical approach

Author

Aleixo, Sandra M. ; Rocha, J. Leonel

Author_Institution

ADM, Inst. Super. de Eng. de Lisboa, Lisbon, Portugal

fYear

2012

fDate

25-28 June 2012

Firstpage

319

Lastpage

324

Abstract

A dynamical approach to study the behaviour of generalized populational growth models from Beta(p, 2) densities, with strong Allee effect, is presented. The dynamical analysis of the respective unimodal maps is performed using symbolic dynamics techniques. The complexity of the correspondent discrete dynamical systems is measured in terms of topological entropy. Different populational dynamics regimes are obtained when the intrinsic growth rates are modified: extinction, bistability, chaotic semistability and essential extinction.

Keywords

biology; chaos; computational complexity; entropy; topology; Allee effect; Beta(p, 2) densities; bistability; chaotic semistability; discrete dynamical system complexity measurement; essential extinction; extinction; generalized populational growth models behaviour; intrinsic growth rates; populational dynamics regimes; symbolic dynamics techniques; topological entropy; unimodal maps; Complexity theory; Entropy; Markov processes; Orbits; Sociology; Space vehicles; Statistics; Allee effect; Beta(p, 2) densities; symbolic dynamics; topological entropy;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology Interfaces (ITI), Proceedings of the ITI 2012 34th International Conference on

Conference_Location

Cavtat, Dubrovnik

ISSN

1334-2762

Print_ISBN

978-1-4673-1629-3

Type

conf

DOI

10.2498/iti.2012.0438

Filename

6308026