Ponente
Descripción
Anticipating the outcomes of genetic interventions requires combining population dynamics, genetics, and control theory. We present a unified formulation that uses bilinear forms for inheritance matrices to model mating combinations in offspring, explicitly capturing complex mating systems such as polygyny and polyandry. We illustrate this approach through three models. First, we use a single-sex Mendelian inheritance model to analyze insecticide resistance. Next, we present a unified model of Mendelian and maternal inheritance simulating simultaneous resistance evolution and Wolbachia introgression in a mosquito population. Finally, a two-sex model incorporates sex-specific inheritance matrices to evaluate seasonal Wolbachia suppression and replacement strategies. The stability analysis and simulations demonstrate how this matrix-based approach rigorously supports the synthesis of effective vector control. We acknowledge support from ARASY ESTR01-23.