Publications [#377348] of Richard T. Durrett

Papers Published

1. Huang, X; Durrett, R, A stochastic spatial model for the sterile insect control strategy, Stochastic Processes and their Applications, vol. 157 (March, 2023), pp. 249-278 [doi]
   (last updated on 2024/08/31)

   Abstract:
   In the system we study, 1’s and 0’s represent occupied and vacant sites in the contact process with births at rate λ and deaths at rate 1. −1’s are sterile individuals that do not reproduce but appear spontaneously on vacant sites at rate α and die at rate θα. We show that the system (which is attractive but has no dual) dies out at the critical value and has a nontrivial stationary distribution when it is supercritical. Our most interesting results concern the asymptotics when α→0. In this regime the process resembles the contact process in a random environment.