Résumé
The Asian citrus psyllid (ACP), Diaphorina citrus, is the main vector of Candi- datus Liberibacter spp., the bacterium that cause Huanglongbing (HLB), the citrus greening disease [1]. This disease is so impacting that many citrus orchards have disappeared in many places, for instance 80% in Florida. Europe and, in particular, the Mediterranean basin is free of HLB, so far. However, it is present in three French overseas departments, including La R´eunion since 2015. Di!erent biocontrol methods have been tested and used with more or less success against the psyllid, using natural predators and parasito¨ıd, like Tamarixia radiata, and enthomopathogenic fungi. La R´eunion is the first and unique place, where biological control of HLB was achieved successfully in the 70s, using parasito¨ıds and mass grubbing [5]. Based on a recent result [2], we aim to take into account the role of producers behavior in the cooperation or not in the pest control. Human behavior is not easy to take into account in models. This has been mainly done for Human disease control (see for instance [3, 4]). Here, we consider a simplified Pest model related to the control of ACP by pheromone trapping [2]. We assume that the control is proportional to the amount of producers that agree to set-up the control. Then, based on pest infestation, the cost of the control, and the ”pressure” from the other producers, we build a socio-economic subsystem coupled to the pest equation. A qualitative analysis is done to derive the long-term behavior of the system, showing the possible existence of stable limit cycles. The results are discussed to derive the best control strategies. Numerical simulations will illustrate or complete our theoretical findings.