Dynamics of discrete-time competition models with interspecific mating and reproductive interference.

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