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Wolbachia is a sexually transmitted parasite that is commonly present among insects. Wolbachia emerges to induce cytoplasmic incompatibility (CI) in insect species such as bees, isopods, and mosquitoes. CI is the phenotypic expression of maternally-inherited cytoplasmic incompatibility factor in male sperm that induces embryonic death when the affected sperm fuses with an egg coming from factor-free maternal lineage. We aim to discuss the Wolbachia-infected population from two different mathematical aspects. One approach will consider the infected population via a discrete-time dynamical system, whereas the other approach will consider the population as an evolution algebra and will focus on the algebraic properties similar and different to the evolution algebra of a bisexual population. (Joint work with Barış Özdinç and Songül Esin)