A Mathematical Model of the Dynamics of Coffee Berry Disease

Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant popu...

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Published inJournal of applied mathematics Vol. 2023; pp. 1 - 10
Main Authors Nyaberi, H. O., Mutuku, W. N., Malonza, D. M., Gachigua, G. W.
Format Journal Article
LanguageEnglish
Published New York Hindawi 27.09.2023
John Wiley & Sons, Inc
Wiley
Subjects
Coffee
Coffee industry
Crop diseases
Differential equations
Eigenvalues
Fungal diseases
Mathematical analysis
Mathematical models
Numerical analysis
Pathogens
Plant diseases
Plant populations
Simulation methods
Kenya
Online AccessGet full text
ISSN1110-757X
1687-0042
DOI10.1155/2023/9320795

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Abstract Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant population in a plantation and Colletotrichum kahawae pathogen population. We derived the basic reproduction number Rk0, and analyzed the dynamical behaviors of both disease-free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using the MATLAB ode45 solver, we carried out numerical simulation, and the findings are consistent with the theoretical results.
AbstractList Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant population in a plantation and Colletotrichum kahawae pathogen population. We derived the basic reproduction number R[sub.k0], and analyzed the dynamical behaviors of both disease-free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using the MATLAB ode45 solver, we carried out numerical simulation, and the findings are consistent with the theoretical results.
Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant population in a plantation and Colletotrichum kahawae pathogen population. We derived the basic reproduction number R k 0 , and analyzed the dynamical behaviors of both disease-free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using the MATLAB ode45 solver, we carried out numerical simulation, and the findings are consistent with the theoretical results.
Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant population in a plantation and Colletotrichum kahawae pathogen population. We derived the basic reproduction number Rk0, and analyzed the dynamical behaviors of both disease-free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using the MATLAB ode45 solver, we carried out numerical simulation, and the findings are consistent with the theoretical results.
Audience Academic
Author Nyaberi, H. O.
Malonza, D. M.
Mutuku, W. N.
Gachigua, G. W.
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  organization: Department of Industrial and Engineering MathematicsThe Technical University of KenyaKenyatukenya.ac.ke
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Copyright Copyright © 2023 H. O. Nyaberi et al.
COPYRIGHT 2023 John Wiley & Sons, Inc.
Copyright © 2023 H. O. Nyaberi et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0
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Snippet Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large....
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SubjectTerms Coffee
Coffee industry
Crop diseases
Differential equations
Eigenvalues
Fungal diseases
Mathematical analysis
Mathematical models
Numerical analysis
Pathogens
Plant diseases
Plant populations
Simulation methods
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Title A Mathematical Model of the Dynamics of Coffee Berry Disease
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