A discussion of bisexual populations with Wolbachia infection as an evolution algebra

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Esin S., Kanuni M., Ozdinc B.

COMMUNICATIONS IN ALGEBRA, vol.53, no.4, pp.1378-1392, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 4
  • Publication Date: 2025
  • Doi Number: 10.1080/00927872.2024.2409338
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1378-1392
  • Open Archive Collection: AVESIS Open Access Collection
  • Istanbul Kültür University Affiliated: Yes

Abstract

In this paper, Wolbachia infection in a bisexual and diploid population with a fixed cytoplasmic incompatibility rate w and maternal transmission rate d is studied as an evolution algebra. As the cytoplasmic incompatibility (CI) of the population causes deaths in the offspring, the evolution algebra of this model is not baric, and is a dibaric algebra if and only if the cytoplasmic incompatibility rate w is 1 and d=1 . The idempotent elements are given in terms of d and w. Moreover, this algebra has no absolute nilpotent elements when CI expression w not equal 1 .