Name: Darboux integrability and dynamics of the Basener–Ross population model
Keywords: Differential equations, Calculus, Equacions diferencials no lineals, Darboux integrability, Càlcul integral, Nonlinear, Dynamical Systems (math.DS), Calculus, Integral, Basener–Ross population model, Quadratic system

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Apr 2020Embargo end date: 01 Jan 2020 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo Series 2, volume 70, pages 427-439 (issn: 0009-725X, eissn: 1973-4409,

Authors: Güngör, Faruk; Llibre Saló, Jaume; Pantazi, Chara;

doi: 10.1007/s12215-020-00507-4 , 10.48550/arxiv.2001.02565

arXiv: http://arxiv.org/abs/2001.02565

handle: 2117/331408

Darboux integrability and dynamics of the Basener–Ross population model

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Abstract

We deal with the Basener and Ross model for the evolution of human population in Easter island. We study the Darboux integrability of this model and characterize all its global dynamics in the Poincar�� disc, obtaining $15$ different topological phase portraits.

13 pages, 4 Figures

Related Organizations

Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain
Autonomous University of Barcelona
Spain
Istanbul Technical University
Turkey

Keywords

Differential equations, Calculus, Equacions diferencials no lineals, Darboux integrability, Càlcul integral, Nonlinear, Dynamical Systems (math.DS), Calculus, Integral, Basener–Ross population model, Quadratic system, Integral, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica, Mathematics - Classical Analysis and ODEs, Basener-Ross population model, Differential equations, Nonlinear, :Matemàtiques i estadística::Anàlisi matemàtica [Àrees temàtiques de la UPC], Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Dynamical Systems, Poincaré disc, Darboux invariant

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