期刊
JOURNAL OF BIOLOGICAL DYNAMICS
卷 13, 期 -, 页码 325-353出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2019.1622808
关键词
Vectored plant disease; replanting strategies; optimal control; differential equations
资金
- National Science Foundation (USA) through NSF [DBI-1300426]
- University of Tennessee, Knoxville
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 epsilon, whereas in abundance-replanting, replanting depends on plant abundance via a selection rate parameter also denoted as epsilon. 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 epsilon. Also, the combined strategy of roguing and insecticide use performs better than a single control.
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