Speakers
Description
Anticipating the outcomes of genetic interventions requires combining population dynamics, genetics, and control theory. In this talk, we discuss 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 analyse 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 the support by ARASY ESTR01-23 \cite{estigarribia2021modelling,perez2020class,vian2026multi}.
Bibliography
@inproceedings{estigarribia2021modelling,
title={Modelling and control of Mendelian and maternal inheritance for biological control of dengue vectors},
author={Estigarribia, Pastor E P{\'e}rez and Bliman, Pierre-Alexandre and Schaerer, Christian E},
booktitle={2021 European Control Conference (ECC)},
pages={333--340},
year={2021},
organization={IEEE}
}
@article{perez2020class,
title={A class of fast--slow models for adaptive resistance evolution},
author={P{\'e}rez-Estigarribia, Pastor E and Bliman, Pierre-Alexandre and Schaerer, Christian E},
journal={Theoretical Population Biology},
volume={135},
pages={32--48},
year={2020},
publisher={Elsevier}
}
@article{vian2026multi,
title={Multi-objective Optimization with Genetic Algorithms for the Release of Wolbachia Mosquitoes Models},
author={Vian, C{\'e}sar and Perez, Pastor and Pinto-Roa, Diego P and Benitez, Francisco and Schaerer, Christian},
journal={Proceeding Series of the Brazilian Society of Computational and Applied Mathematics},
volume={12},
number={1},
pages={1--2},
year={2026}
}
