Mathematical modeling of the spread of Wolbachia for dengue control
Nicolas Vauchelet, Université Paris 13, France
Bacteria Wolbachia has gain a lot of attention since scientists discover that infected mosquitoes with this bacteria cease to transmit some disease like dengue, chikungunya and Zika. Moreover, this bacteria is maternally transmitted from mother to offsprings. Then a strategy of control of dengue transmission consists in releasing Wolbachia infected mosquitoes in the aim to replace to natural population of mosquitoes by infected mosquitoes. In this work, we are concerned with the spatial spread of Wolbachia infected mosquitoes into a host population. We focus on the two following questions: How the spatial re-partition of the releases will influence the spread of the bacteria into the population? Once the spread is initiated, is it possible that environmental characteristics stop the spread? How to optimize the success of this strategy?