HighlightsComparing the long-term persistence of different Wolbachia strains after the release of bacteria-carrying mosquitoesJose L. Orozco-Gonzales, Antone dos Santos Benedito, Daiver Cardona-Salgado, Claudia Pio Ferreira, Helenice de Oliveira Florentino, Lilian S. Sepulveda-Salcedo, Olga Vasilieva• A bidimensional strain-adaptable model for Wolbachia invasion is proposed.• The model retains the core properties of higher-dimensional ones.• wMelPop renders the smallest size of the persisting wild population.• wMel strain is expected to spread faster than other strains.• wAlbB strain may perform better in tropical areas than other strains.