A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer

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