Perpetua: The UAH Journal of Undergraduate Research


College of Science


Mathematical Sciences


Mosquito-borne illnesses have posed an ongoing threat to humans, causing thousands of fatalities each year. Wolbachia bacteria have proven to be an effective way of limiting the ability of mosquitoes to transmit these diseases to humans, as well as to control the population by sterilizing male mosquitoes. For these reasons, researchers have performed field releases of Wolbachia-infected mosquitoes. To increase the likelihood that these releases will succeed, mathematical models have been developed to predict the spread of Wolbachia in mosquito populations following a field release. In a recently published article, a generalized model was proposed, with the intention of being applicable to a wide variety of release scenarios. Here, an analysis is performed of that model to find the periodic solutions of it, which determine the global dynamics of the system.



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