Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations

Laboratory experiments as well some field essays have revealed that the intracellular bacterium Wolbachia, deliberately introduced in Aedes spp female mosquitoes, drastically reduces their vector competence for dengue virus and, also, other mosquito-borne viral diseases. However, mosquitoes infected with Wolbachia still need to ingest human blood while male either wild or Wolbachia-carrying, do not bite people. As such, Wolbachia-carrying females may transmit people during blood-feeding, even though far less probability than ones. Therefore, massive releases of increase both nuisance and epidemiological risk among residents. With goal exploring depth practical aspects sex-biased releases, we introduce this paper a simple sex-structured model invasion brings forward possibility developing male-biased release strategies Wolbachia-carriers leading invasion. Thanks model, study at length minimal amount necessary complete task, according relative sex-ratio released schedule. We also pay attention estimate time needed achieve ultimate population replacement.