Open AccessGeneralized Models from Beta(p, 2) Densities with Strong Allee Effect: Dynamical Approach
Author(s) -
Sandra M. Aleixo,
J. Leonel Rocha
Publication year - 2012
Publication title -
cit. journal of computing and information technology/journal of computing and information technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 27
eISSN - 1846-3908
pISSN - 1330-1136
DOI - 10.2498/cit.1002098
Subject(s) - allee effect , statistical physics , bistability , chaotic , dynamical systems theory , topological entropy , extinction (optical mineralogy) , mathematics , symbolic dynamics , computer science , physics , pure mathematics , artificial intelligence , quantum mechanics , population , demography , sociology , optics
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