Formalisation et résolution d’un problème en Santé Animale avec le cadre Leader-Follower MDP

Transmissible disease control is a major concern for the livestock sector. For unregulated diseases, each farmer chooses to implement control actions. To help coordination between farmers, organizations propose collective control approaches using incentives. Our objective is to design a tool, based on the Leader-Follower Markov Decision Processes framework (LF-MDP), to help coordination. Exact solution is hard, however we have proposed an exact solution method and an approximate (using state aggregation) one.We have applied these methods to a case study concerning the Porcine Reproductive and Respiratory Syndrome (PRRS) virus. Exact solution is possible for up to n = 20 followers. Approximate solution could be performed for up to n = 100 followers and we observed similar exact and approximate solutions for n