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13 p, 380.6 KB 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)
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.
2020 - 10.1007/s12215-020-00507-4
Rendiconti del Circolo Matematico di Palermo, vol. 70 (April 2020) p. 427-439  
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