Okay here's the plan:
First, you have to get billions of dollars in funding from the governments of the world. The fastest way to do this would be to collect the savings from getting the US government to stop manufacturing pennies for the next 6 months. Then you have to invest a billion or so into lethal orbital laser technology. After the research and development are completed, rig it onto about a dozen satellites and send them into orbit. Then, and this is the most crucial part, superheat the Earth's surface. This will make the planet uninhabitable for the mosquitoes and your problem will be solved, provided you were on your specially designed Moon colony you developed before your project.