The coffee berry borer (CBB, Hypothenemus hampei) is the most serious insect pest of coffee worldwide; understanding the dynamics of its reproduction is essential for pest management. The female CBB penetrates the coffee berry, eats the seed, and reproduces inside it. A mathematical model of the infestation progress of the coffee berry by the CBB during several coffee seasons is formulated. The model represents the interaction among five populations: uninfested, slightly infested, and severely infested coffee berries, and free and encapsulated CBBs. Coffee harvesting is also included in the model. A one-dimensional map is derived for tracking the population dynamics subject to certain coffee harvesting percentages over several seasons. Stability analysis of the map’s fixed points shows that CBB infestation could be eliminated or controlled to a specific level over multiple seasons of coffee harvesting. However, the percent of coffee harvesting required is determined by the level of CBB infestation at the beginning of the first season and in some cases it is impossible to achieve that percentage.

咖啡浆果蛀虫（CBB，Hypothenemus hampei)是全世界咖啡最严重的害虫；了解其繁殖动态对于害虫管理至关重要。雌性CBB穿透咖啡浆果，吃掉种子，并在里面繁殖。建立了 CBB 在几个咖啡季节对咖啡浆果侵染过程的数学模型。该模型代表了五个种群之间的相互作用：未感染、轻微感染和严重感染的咖啡浆果，以及游离和封装的 CBB。咖啡收获也包括在模型中。推导出一维地图，用于跟踪受几个季节特定咖啡收获百分比影响的人口动态。地图固定点的稳定性分析表明，在咖啡收获的多个季节，CBB 感染可以被消除或控制到特定水平。然而，所需的咖啡收获百分比取决于第一个季节开始时的 CBB 侵染水平，在某些情况下不可能达到该百分比。