The rightmost particle of the inherited sterility contact process.

Resumen: The contact process with inherited sterility provides a probabilistic framework for studying population control strategies inspired by the Sterile Insect Technique.
In this model, an infected particle can create a fertile infected particle (with probability p) or a sterile infected particle (with probability 1-p) which will behave like an “environment” blocking the propagation of the infection. The main challenge is that this model is not attractive (since an increase of fertile individuals potentially causes that of sterile ones). Sonia Velasco previously proved that this process can survive for p large enough.
We will study the behavior of the rightmost infected particle (starting from a finite configuration of infected particles) and we will prove, for a certain regime of parameters, a law of large numbers and a central limit theorem. This is a joint work with Isabella Goncalves de Alvarenga.

Posted on Nov 17, 2025 in Seminario de Probabilidades de Chile, Seminars