@article{Nyaberi_MUTUKU_MALONZA_GACHIGUA_ALWORAH_2024, title={An optimal control model for Coffee Berry Disease and Coffee Leaf Rust co-infection}, volume={5}, url={https://www.sabapub.com/index.php/jmam/article/view/944}, DOI={10.48185/jmam.v5i1.944}, abstractNote={<p>In the 1980s, coffee production in Kenya peaked at an average of 1.7 million bags annually. Since then,<br />this production has declined to the current output of below 0.9 million bags annually. Coffee berry disease<br />(CBD) and Coffee leaf rust (CLR) are some of the causes of this decline. This is due to insufficient knowledge<br />of optimal control strategies for CBD and CLR co-infection. In this research, we derive a system of ODEs from<br />the mathematical model for co-infection of CBD and CLR with control strategies to perform optimal control<br />analysis. An optimal control problem is formulated and solved using Pontryagin’s maximum principle. The<br />outcomes of the model’s numerical simulations indicate that combining all interventions is the best strategy<br />for slowing the spread of the CBD-CLR co-infection.</p>}, number={1}, journal={Journal of Mathematical Analysis and Modeling}, author={Nyaberi, Halson and MUTUKU, W.N. and MALONZA, D.M. and GACHIGUA, G.W. and ALWORAH, G.O.}, year={2024}, month={Mar.}, pages={1–25} }