<abstract><p>In this paper, we propose a dengue transmission model of SIR(S)-SI type that accounts for two sex-structured mosquito populations: the wild mosquitoes (males and females that are <italic>Wolbachia</italic>-free), and those deliberately infected with either <italic>wMel</italic> or <italic>wMelPop</italic> strain of <italic>Wolbachia</italic>. This epidemiological model has four possible outcomes: with or without <italic>Wolbachia</italic> and with or without dengue. To reach the desired outcome, with <italic>Wolbachia</italic> and without dengue, we employ the dynamic optimization approach and then design optimal programs for releasing <italic>Wolbachia</italic>-carrying male and female mosquitoes. Our discussion is focused on advantages and drawbacks of two <italic>Wolbachia</italic> strains, <italic>wMelPop</italic> and <italic>wMel</italic>, that are recommended for dengue prevention and control. On the one hand, the <italic>wMel</italic> strain guarantees a faster population replacement, ensures durable <italic>Wolbachia</italic> persistence in the wild mosquito population, and requiters fewer releases. On the other hand, the <italic>wMelPop</italic> strain displays better results for averting dengue infections in the human population.</p></abstract>