A class of bijective Lotka–Volterra operators and its application

Farrukh Mukhamedov, Pah Chin Hee, Azizi Rosli

Research output: Contribution to journalArticlepeer-review

Abstract

It is well known that any classical Lotka–Volterra (LV) operator (associated with quadratic stochastic operator) defined on the simplex is a homeomorphism. On the other hand, more general LV systems have important applications in the time evolution of conflicting species in biology. It is natural to study the bijectivity of such kind of LV operators. There is an example of a LV operator which is not injective. In this paper, we introduce a class of LV operators that are bijective. As an application of our result, the existence and uniqueness of solution of a class of Hammerstein integral equations is proved.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusAccepted/In press - 2023

Keywords

  • Lotka–Volterra operator
  • bijective
  • integral equation
  • stochastic

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

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