Transmission dynamics and optimal control of stage-structured HLB model
Citrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus production 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 investigate the effect of...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019259?viewType=HTML |
| _version_ | 1819010097990336512 |
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| author | Yunbo Tu Shujing Gao Yujiang Liu Di Chen Yan Xu |
| author_facet | Yunbo Tu Shujing Gao Yujiang Liu Di Chen Yan Xu |
| author_sort | Yunbo Tu |
| collection | DOAJ |
| description | Citrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus production 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 investigate the effect of the strategy in controlling the spread of HLB. By calculating, we obtain the basic reproductive number $R_0$, and prove that the disease can be eradicated if $R_0 < 1$, whereas the disease will persist if $R_0>1$. 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.
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| first_indexed | 2024-12-21T01:06:51Z |
| format | Article |
| id | doaj.art-80a10258ce7e40b895e5e57f484059eb |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-21T01:06:51Z |
| publishDate | 2019-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-80a10258ce7e40b895e5e57f484059eb2022-12-21T19:21:01ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-06-011655180520510.3934/mbe.2019259Transmission dynamics and optimal control of stage-structured HLB modelYunbo Tu 0Shujing Gao1Yujiang Liu2Di Chen3Yan Xu 41. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China 2. National Research Center of Navel Orange Engineering and Technology, Gannan Normal University, Ganzhou 341000, China1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, China1. Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaCitrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus production 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 investigate the effect of the strategy in controlling the spread of HLB. By calculating, we obtain the basic reproductive number $R_0$, and prove that the disease can be eradicated if $R_0 < 1$, whereas the disease will persist if $R_0>1$. 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. https://www.aimspress.com/article/10.3934/mbe.2019259?viewType=HTMLhuanglongbingstage-structured modelbasic reproductive numberpopulation dynamicsoptimal control |
| spellingShingle | Yunbo Tu Shujing Gao Yujiang Liu Di Chen Yan Xu Transmission dynamics and optimal control of stage-structured HLB model Mathematical Biosciences and Engineering huanglongbing stage-structured model basic reproductive number population dynamics optimal control |
| title | Transmission dynamics and optimal control of stage-structured HLB model |
| title_full | Transmission dynamics and optimal control of stage-structured HLB model |
| title_fullStr | Transmission dynamics and optimal control of stage-structured HLB model |
| title_full_unstemmed | Transmission dynamics and optimal control of stage-structured HLB model |
| title_short | Transmission dynamics and optimal control of stage-structured HLB model |
| title_sort | transmission dynamics and optimal control of stage structured hlb model |
| topic | huanglongbing stage-structured model basic reproductive number population dynamics optimal control |
| url | https://www.aimspress.com/article/10.3934/mbe.2019259?viewType=HTML |
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