Optimal control of epidemics is a major challenge as control is costly and damages aresubstantial. Complementing the raising literature on the topic, we focus in this paperon coordination and cooperation issues related to control strategies. Modeling an epidemicsaffecting perennial crops over space and time, we consider a dynamic game where several landowners choose whether to control an epidemics within their property. Analyzing the gameboth in a cooperative and non-cooperative fashion, we draw insights on initial conditionslikely to produce inefficiencies and coordination issues due to private management. Wecharacterize game situations according to spread intensity and infection levels and focus onlandowners strategic behaviors generating inefficiencies within a network.