Transmission dynamics and optimal control of stage-structured HLB model
| Autor: | Yun Bo Tu, Yu Jiang Liu, Shu Jing Gao, Di Chen, Yan Xu, Sudip Samanta |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
China
Citrus Insecticides Basic Reproduction Number 02 engineering and technology Disease Vectors Trees law.invention Hemiptera Rhizobiaceae law 0502 economics and business Statistics 0202 electrical engineering electronic engineering information engineering Animals Plant Diseases Mathematics Applied Mathematics 05 social sciences General Medicine Models Theoretical Optimal control Computational Mathematics Transmission (mechanics) Modeling and Simulation 020201 artificial intelligence & image processing Stage (hydrology) General Agricultural and Biological Sciences Basic reproduction number Algorithms 050203 business & management |
| Zdroj: | Mathematical Biosciences and Engineering. 16:5180-5205 |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2019259 |
| Popis: | Citrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus pro-duction both in abroad and domestic. Based on the mechanism and characteristics of citrus HLB transmission, we establish a vector-borne model with stage structure and integrated strategy and inves-tigate the effect of the strategy in controlling the spread of HLB. By calculating, we obtain the basic reproductive number R0, and prove that the disease can be eradicated if R0 1. Meanwhile, we apply the optimal control theory to obtain an optimal integrated strategy. Finally, we use our model to simulate the data of the numbers of inspected and infected citrus trees in "Yuan Orchard", located in Ganzhou City, Jiangxi Province in the southeast of P.R China. We also give some numerical simulations for our theoretical findings. |
| Databáze: | OpenAIRE |
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