Dynamical Behaviour on the Parameter Space: New Populational Growth Models Proportional to Beta Densities

被引：5

作者：

Aleixo, Sandra M. ^{[1
]}

Rocha, J. Leonel ^{[2
]}

Pestana, Dinis D. ^{[3
,4
]}

机构：

[1] Inst Super Engn Lisboa, Math Unit, DEC, Rua Conselheiro Emidio Navarro 1, P-1949014 Lisbon, Portugal

[2] Inst Super Engn Lisboa, DEQ, Math Unit, P-1949014 Lisbon, Portugal

[3] Univ Lisbon, DEIO, FCUL, P-1749016 Lisbon, Portugal

[4] Univ Lisbon, CEAUL, P-1749016 Lisbon, Portugal

来源：

PROCEEDINGS OF THE ITI 2009 31ST INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY INTERFACES | 2009年

关键词：

Beta densities; population dynamics; dynamical behaviour;

D O I：

10.1109/ITI.2009.5196082

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present new populational growth models, generalized logistic models which are proportional to beta densities with shape parameters p and 2, where p > 1, with Malthusian parameter r. The complex dynamical behaviour of these models is investigated in the parameter space (r, p), in terms of topological entropy, using explicit methods, when the Malthusian parameter r increases. This parameter space is split into different regions, according to the chaotic behaviour of the models.

引用

页码：213 / +

页数：2

共 21 条

[1] Populational Growth Models Proportional to Beta Densities with Allee Effect
Aleixo, Sandra M.
Rocha, J. Leonel
Pestana, Dinis D.
[J]. MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 3 - +
[2] On dichotomy law for beta-dynamical system in parameter space
Fan Lü
Jun Wu
[J]. Mathematische Zeitschrift, 2020, 296 : 661 - 683
[3] On dichotomy law for beta-dynamical system in parameter space
Lue, Fan
Wu, Jun
[J]. MATHEMATISCHE ZEITSCHRIFT, 2020, 296 (1-2) : 661 - 683
[4] Recursive parameter identification of the dynamical models for bilinear state space systems
Zhang, Xiao
Ding, Feng
Alsaadi, Fuad E.
Hayat, Tasawar
[J]. NONLINEAR DYNAMICS, 2017, 89 (04) : 2415 - 2429
[5] Recursive parameter identification of the dynamical models for bilinear state space systems
Xiao Zhang
Feng Ding
Fuad E. Alsaadi
Tasawar Hayat
[J]. Nonlinear Dynamics, 2017, 89 : 2415 - 2429
[6] New one-parameter models of dynamical particles in spatially flat FLRW space-times
Cotăescu, Ion I.
[J]. European Physical Journal C, 2024, 84 (08):
[7] Phase-space consistency of stellar dynamical models determined by separable augmented densities
An, J.
Van Hese, E.
Baes, M.
[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2012, 422 (01) : 652 - 664
[8] Generalized Models from Beta(p, 2) Densities with Strong Allee Effect: Dynamical Approach
Aleixo, Sandra M.
Leonel Rocha, J.
[J]. PROCEEDINGS OF THE ITI 2012 34TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY INTERFACES (ITI), 2012, : 319 - 324
[9] Determining structural parameter identifiability in biological dynamical models by analysing the statistical properties of the likelihood behaviour
Re, Angela
Lecca, Paola
[J]. 2019 16TH IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN BIOINFORMATICS AND COMPUTATIONAL BIOLOGY - CIBCB 2019, 2019, : 303 - 310
[10] Characterizing new physics models by effective dimensionality of parameter space
Thorsten Feldmann
Christoph Promberger
Stefan Recksiegel
[J]. The European Physical Journal C, 2012, 72

← 1 2 3 →