A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer.
Animals
Coffea
/ growth & development
Computational Biology
Crops, Agricultural
/ growth & development
Female
Fruit
/ parasitology
Insect Control
/ methods
Mathematical Concepts
Models, Biological
Plant Diseases
/ parasitology
Population Dynamics
/ statistics & numerical data
Puerto Rico
Reproduction
Seasons
Temperature
Weevils
/ pathogenicity
Biological control
Hypothenemus hampei
Mathematical modeling
One-dimensional map
Pest management
Journal
Mathematical biosciences
ISSN: 1879-3134
Titre abrégé: Math Biosci
Pays: United States
ID NLM: 0103146
Informations de publication
Date de publication:
03 2021
03 2021
Historique:
received:
20
08
2020
revised:
10
12
2020
accepted:
10
12
2020
pubmed:
24
1
2021
medline:
17
8
2021
entrez:
23
1
2021
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 33484730
pii: S0025-5564(20)30171-1
doi: 10.1016/j.mbs.2020.108530
pii:
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.
Langues
eng
Sous-ensembles de citation
IM
Pagination
108530Informations de copyright
Copyright © 2021 Elsevier Inc. All rights reserved.
Déclaration de conflit d'intérêts
Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.