Global asymptotic stability of evolutionary periodic Ricker competition models

Saber Elaydi, Yun Kang, Rafael Luís

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper is dedicated to Jim Cushing on the occasion of his 80th birthday. It is inspired by his work on evolutionary theory. We investigate the global dynamics of discrete-time phenotypic evolutionary models, both autonomous and periodic. We developed the theory of mixed monotone maps and applied it to show that the positive equilibrium of the autonomous evolutionary Ricker model of single and multi-species is globally asymptotically stable. Then we extend this result to the corresponding evolutionary Ricker model with periodic parameters.

Original languageEnglish (US)
JournalJournal of Difference Equations and Applications
StateAccepted/In press - 2023
Externally publishedYes


  • Periodic competition models
  • global stability
  • local stability
  • mixed monotone maps
  • periodic evolutionary dynamics
  • traits

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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