An optimal control model for Coffee Berry Disease and Coffee Leaf Rust co-infection

https://doi.org/10.48185/jmam.v5i1.944

Authors

  • Halson Nyaberi Kenyatta University
  • W.N. MUTUKU Department of Mathematics, Kenyatta University, Kenya
  • D.M. MALONZA Department of Mathematics, South Eastern University of Kenya
  • G.W. GACHIGUA Department of Industrial and Engineering Mathematics, The Technical University of Kenya
  • G.O. ALWORAH Department of Plant Pathology, KALRO-Coffee Research Institute, Kenya

Keywords:

Coffee Berry Disease, Coffee Leaf Rust, Optimal control, Numerical Simulation

Abstract

In the 1980s, coffee production in Kenya peaked at an average of 1.7 million bags annually. Since then,
this production has declined to the current output of below 0.9 million bags annually. Coffee berry disease
(CBD) and Coffee leaf rust (CLR) are some of the causes of this decline. This is due to insufficient knowledge
of optimal control strategies for CBD and CLR co-infection. In this research, we derive a system of ODEs from
the mathematical model for co-infection of CBD and CLR with control strategies to perform optimal control
analysis. An optimal control problem is formulated and solved using Pontryagin’s maximum principle. The
outcomes of the model’s numerical simulations indicate that combining all interventions is the best strategy
for slowing the spread of the CBD-CLR co-infection.

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Published

2024-03-19

How to Cite

Nyaberi, H., MUTUKU, W. ., MALONZA, D. ., GACHIGUA, G. ., & ALWORAH, G. . (2024). An optimal control model for Coffee Berry Disease and Coffee Leaf Rust co-infection. Journal of Mathematical Analysis and Modeling, 5(1), 1–25. https://doi.org/10.48185/jmam.v5i1.944

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