On a convex combination of Lotka–Volterra operators

Farrukh Mukhamedov, Chin Hee Pah, Azizi Rosli

Research output: Contribution to journalArticlepeer-review


We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that such maps are homeomorphism of the simplex.

Original languageEnglish
Article number100133
JournalExamples and Counterexamples
Publication statusPublished - Jun 2024


  • Homeomorphism
  • Lotka–Volterra operator

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics (miscellaneous)
  • Computational Mathematics


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