Integrability of the Basener–Ross model with time-dependent coefficients

  • F. Güngör
  • P. J. TorresEmail author


The Basener–Ross system is a known model in Population dynamics for the interaction of consumers and resources in an isolated habitat. For an extended version with time-dependent coefficients as a model of possible variations of the environmental conditions, some relations among the coefficients are provided leading to the integrability of the system.


Basener–Ross model Predator–prey Integrability Lie symmetry Exact solution 

Mathematics Subject Classification

34A05 34C14 92D25 



F.G. would like to thank Prof. P.J. Torres for the kind invitation and support to visit the Department of Applied Mathematics of the University of Granada. This work is partially supported by MINECO and ERDF project MTM2017-82348-C2-1-P.


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Copyright information

© Sociedad Española de Matemática Aplicada 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and LettersIstanbul Technical UniversityIstanbulTurkey
  2. 2.Departamento de Matemática Aplicada and Research Unit “Modeling Nature” (MNat)Universidad de GranadaGranadaSpain

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