Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations
This paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically inve...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/2953623 |
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| _version_ | 1832554538872078336 |
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| author | Shujing Gao Lei Luo Shuixian Yan Xinzhu Meng |
| author_facet | Shujing Gao Lei Luo Shuixian Yan Xinzhu Meng |
| author_sort | Shujing Gao |
| collection | DOAJ |
| description | This paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically investigate the basic reproductive number and its computation formulae for general impulsive switching model with periodic environment. Secondly, the basic reproductive number and global dynamics of the impulsive switching model for Huanglongbing are analyzed. Finally, numerical results indicate that spring and autumn are the optimum seasons for killing psyllids, and winter is the optimum season for removing infected trees. |
| format | Article |
| id | doaj-art-fd25a23bf68943db94ea63cd20a87598 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fd25a23bf68943db94ea63cd20a875982025-02-03T05:51:19ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/29536232953623Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal FluctuationsShujing Gao0Lei Luo1Shuixian Yan2Xinzhu Meng3Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaKey Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou 341000, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically investigate the basic reproductive number and its computation formulae for general impulsive switching model with periodic environment. Secondly, the basic reproductive number and global dynamics of the impulsive switching model for Huanglongbing are analyzed. Finally, numerical results indicate that spring and autumn are the optimum seasons for killing psyllids, and winter is the optimum season for removing infected trees.http://dx.doi.org/10.1155/2018/2953623 |
| spellingShingle | Shujing Gao Lei Luo Shuixian Yan Xinzhu Meng Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations Complexity |
| title | Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations |
| title_full | Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations |
| title_fullStr | Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations |
| title_full_unstemmed | Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations |
| title_short | Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations |
| title_sort | dynamical behavior of a novel impulsive switching model for hlb with seasonal fluctuations |
| url | http://dx.doi.org/10.1155/2018/2953623 |
| work_keys_str_mv | AT shujinggao dynamicalbehaviorofanovelimpulsiveswitchingmodelforhlbwithseasonalfluctuations AT leiluo dynamicalbehaviorofanovelimpulsiveswitchingmodelforhlbwithseasonalfluctuations AT shuixianyan dynamicalbehaviorofanovelimpulsiveswitchingmodelforhlbwithseasonalfluctuations AT xinzhumeng dynamicalbehaviorofanovelimpulsiveswitchingmodelforhlbwithseasonalfluctuations |