Optimal control of a vectored plant disease model for a crop with continuous replanting
File(s)
Published version
Author(s)
Bokil, VA
Allen, LJS
Jeger, MJ
Lenhart, S
Type
Journal Article
Abstract
Vector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of selection of cuttings, roguing, and insecticide use on disease prevalence in plants. Previous models are extended to include two replanting strategies: frequencyreplanting and abundance-replanting. In frequency-replanting, replanting of infected cuttings depends on the selection frequency parameter ε, whereas in abundance-replanting, replanting depends on plant abundance via a selection rate parameter also denoted as ε. The two models are analysed and new thresholds for disease elimination are defined for each model. Parameter values for cassava, whiteflies, and African cassava mosaic virus serve as a case study. A numerical sensitivity analysis illustrates how the equilibrium densities of healthy and infected plants vary with parameter values. Optimal control theory is used to investigate the effects of roguing and insecticide use with a goal of maximizing the healthy plants that are harvested. Differences in the control strategies in the two models are seen for large values of ε. Also, the combined strategy of roguing and insecticide use performs better than a single control.
Date Issued
2019-05-31
Date Acceptance
2019-04-28
Citation
Journal of Biological Dynamics, 2019, 13 (Sup 1), pp.325-353
ISSN
1751-3758
Publisher
Taylor & Francis Open
Start Page
325
End Page
353
Journal / Book Title
Journal of Biological Dynamics
Volume
13
Issue
Sup 1
Copyright Statement
© 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/
by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/31149889
Subjects
Vectored plant disease
differential equations
optimal control
replanting strategies
Publication Status
Published
Coverage Spatial
England
Date Publish Online
2019-05-31