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A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer.
Math Biosci. 2021 03; 333:108530.MB

Abstract

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.

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Publisher Full Text (DOI)

Authors+Show Affiliations

Marcano M
Department of Computer Science, University of Puerto Rico, Río Piedras Campus, San Juan, PR, 00931, USA. Electronic address: mariano.marcano@upr.edu.
Bose A
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, 07102, USA.
Bayman P
Department of Biology, University of Puerto Rico, Río Piedras Campus, PO Box 23360, San Juan, PR, 00931, USA.

MeSH

AnimalsCoffeaComputational BiologyCrops, AgriculturalFemaleFruitInsect ControlMathematical ConceptsModels, BiologicalPlant DiseasesPopulation DynamicsPuerto RicoReproductionSeasonsTemperatureWeevils

Pub Type(s)

Journal Article
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

Language

eng

PubMed ID

33484730

Citation

Marcano, Mariano, et al. "A One-dimensional Map to Study Multi-seasonal Coffee Infestation By the Coffee Berry Borer." Mathematical Biosciences, vol. 333, 2021, p. 108530.
Marcano M, Bose A, Bayman P. A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer. Math Biosci. 2021;333:108530.
Marcano, M., Bose, A., & Bayman, P. (2021). A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer. Mathematical Biosciences, 333, 108530. https://doi.org/10.1016/j.mbs.2020.108530
Marcano M, Bose A, Bayman P. A One-dimensional Map to Study Multi-seasonal Coffee Infestation By the Coffee Berry Borer. Math Biosci. 2021;333:108530. PubMed PMID: 33484730.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer. AU - Marcano,Mariano, AU - Bose,Amitabha, AU - Bayman,Paul, Y1 - 2021/01/21/ PY - 2020/08/20/received PY - 2020/12/10/revised PY - 2020/12/10/accepted PY - 2021/1/24/pubmed PY - 2021/8/17/medline PY - 2021/1/23/entrez KW - Biological control KW - Hypothenemus hampei KW - Mathematical modeling KW - One-dimensional map KW - Pest management SP - 108530 EP - 108530 JF - Mathematical biosciences JO - Math Biosci VL - 333 N2 - 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. SN - 1879-3134 UR - https://www.unboundmedicine.com/medline/citation/33484730/A_one_dimensional_map_to_study_multi_seasonal_coffee_infestation_by_the_coffee_berry_borer_ DB - PRIME DP - Unbound Medicine ER -

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