We analyze discrete-time Leslie–Gower competition models featuring Beverton–Holt survivability and interspecific mating toexplore interactions between two \textit{Aedes} mosquito species. By incorporating larval resource competition andasymmetric reproductive interference (satyrization), we identify conditions for equilibrium existence and local stability. Wespecifically examine how the mating competitiveness of \textit{Ae. albopictus} and its interference with \textit{Ae. aegypti}drive competitive displacement or coexistence of the two mosquito species. Our results demonstrate that satyrizationsignificantly alters classical competition outcomes, leading to displacement or coexistence depending on parameter regimes andinitial population sizes. These findings, supported by numerical simulations, provide a robust theoretical framework forunderstanding how reproductive interference shapes mosquito population dynamics.