Dr. Bimo of the Dr Soetomo hospital in Surabaya tells us, that for most of the viruses transmitted by mosquitoes there are no vaccines available as of yet. Fortunately, for some viruses, like Yellow Fever, an effective vaccine is available. Many of the infections are quite similar in their symptoms. Chikungunya, Dengue and Zika all cause (very!) high fevers, muscle pains and just general awfulness.
Most diseases can’t be cured, they need to be fought off by your immune system. There is often no more you can do than staying in bed, drinking plenty of water and taking simple painkillers like paracetamol to keep the fever under control. If symptoms get really worse, you might need to be taken to the hospital for close observation and supportive treatment like fluid replacement.