Optimal Population Control Through Sterile Males

Emmanuel Trélat (1) , Jiamin Zhu (1) , Enrique Zuazua (1, 2, 3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 Fundación Deusto
3 Departamento de Matematicas [Madrid]

In this article, we propose a new model for describing the population evolution while considering the effect of the sterile insect release method (SIRM) and the Allee effect. Different from classical deterministic or stochastic modelings, our model is developed as a hydrodynamic limit of an interacting particle system. Some system solutions are then studied and an optimal control problem is formulated in order to design control strategies for eradicating the target pest population with as less sterile males as possible. Numerical results show that the population eradicating mission can be achieved when sufficiently large sterile male release rate is provided, and that the Allee effect can help to reduce the use of sterile males.

Domaines: Optimisation et contrôle [math.OC]; Ecologie, Environnement

Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua. Optimal Population Control Through Sterile Males. 2017. ⟨hal-01624448⟩