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Abstract
Transgenic mosquitoes that are resistant to malaria infection become one of the effective weapons to control malaria transmission. To investigate the impact of releasing transgenic mosquitoes on the malaria transmission, we first formulate mathematical models for interactive wild and transgenic mosquitoes based on systems of differential equations. We consider both dominant and recessive transgenes and include density-dependent vital rates in the mosquitoes population and provide fundamental analysis for the dynamics of the interactive mosquitoes. Using a simple compartmental SEIR (susceptible-exposed-infective-recovered) malaria transmission model as our baseline model, we then introduce transgenic mosquitoes into the baseline model. We study the dynamics of the simple baseline model and the models with the transgenic mosquitoes. Based on the reproductive numbers and endemic equilibria for these models, we investigate the impact of releasing transgenic mosquitoes on malaria transmission.
Acknowledgements
This research was supported partially by the U.S. National Science Foundation grant DMS-0931213. The author thanks an anonymous referee for valuable comments and suggestions.