A discussion of bisexual populations with Wolbachia infection as an evolution algebra
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910303652937728 |
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| author | Esin, Songül Kanuni, Müge Özdinç, Barış |
| author_facet | Esin, Songül Kanuni, Müge Özdinç, Barış |
| contents | 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 $w \neq 1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2304_07826 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A discussion of bisexual populations with Wolbachia infection as an evolution algebra Esin, Songül Kanuni, Müge Özdinç, Barış Rings and Algebras Populations and Evolution 17D92, 17D99 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 $w \neq 1$. |
| title | A discussion of bisexual populations with Wolbachia infection as an evolution algebra |
| topic | Rings and Algebras Populations and Evolution 17D92, 17D99 |
| url | https://arxiv.org/abs/2304.07826 |