A Mathematical Model of the Dynamics of Coffee Berry Disease-Reference-Cited by-同舟云学术

A Mathematical Model of the Dynamics of Coffee Berry Disease

Published:2023-09-27 Issue: Volume:2023 Page:1-10
ISSN:1687-0042
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Nyaberi H. O.¹^ORCID,Mutuku W. N.¹,Malonza D. M.²,Gachigua G. W.³

Affiliation:

1. Department of Mathematics, Kenyatta University, Kenya

2. Department of Mathematics, South Eastern University of Kenya, Kenya

3. Department of Industrial and Engineering Mathematics, The Technical University of Kenya, Kenya

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

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2023/9320795.pdf

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