Darboux integrability and dynamics of the Basener-Ross population model
Güngör, Faruk (Istanbul Technical University. Department of Mathematics (Turkey))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)

Date:	2020
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 Poincaré disc, obtaining 15 different topological phase portraits.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Basener-Ross population model ; Quadratic system ; Poincaré disc ; Darboux integrability ; Darboux invariant
Published in:	Rendiconti del Circolo Matematico di Palermo, vol. 70 (April 2020) p. 427-439, ISSN 1973-4409

DOI: 10.1007/s12215-020-00507-4

Postprint 13 p, 380.6 KB

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