Mosquitoes are a vital part to food chains around the world and eradicating them would see many unforeseeable effects. Although the cause mostly harm to the human race when you look at the bigger picture many other species benefit from mosquitoes. Eradicating mosquitoes isn't the right way to deal with these issues we face.
Mosquitoes form various useful functions including acting as prey for other species and pollinating certain plants. The larvae also feed on decaying vegetation in water. Eradicating the entire population of mosquitoes could lead to the decline and subsequent extinction of other species of plants and animals, especially those creatures that rely on mosquitoes as their primary food source.
There would be nothing wrong with eradicating mosquitoes. Mosquitoes pose serious health concerns because of the diseases they can transmit to people: Malaria, West Nile Virus and Zika. All of these diseases can be deadly, as well as create devastating side effects for sufferers. Therefore, scientists and governments have an incentive to eradicate mosquitoes to reduce exposure to these deadly illnesses.
Mosquitoes have spread disease among the human and animal populations for ages. Their spread of viruses like Zika, and Dengue fever have caused a tremendous amount of suffering and pain. Eliminating mosquitoes may temporarily disrupt the food chain for some animals, but it reasonable to think that those animals would find a new food source, and would not suffer in the long term.