A discussion of bisexual populations with Wolbachia infection as an evolution algebra
COMMUNICATIONS IN ALGEBRA, vol.53, no.4, pp.1378-1392, 2025 (SCI-Expanded, Scopus)
- 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 .