A Pest Management Model with Stage Structure and Impulsive State Feedback Control
A pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the sta...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/617379 |
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| _version_ | 1832554427399012352 |
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| author | Guoping Pang Zhiqing Liang Weijian Xu Lijie Li Gang Fu |
| author_facet | Guoping Pang Zhiqing Liang Weijian Xu Lijie Li Gang Fu |
| author_sort | Guoping Pang |
| collection | DOAJ |
| description | A pest management model with stage structure
and impulsive state feedback control is investigated. We get the
sufficient condition for the existence of the order-1 periodic
solution by differential equation geometry theory and successor
function. Further, we obtain a new judgement method for the
stability of the order-1 periodic solution of the semicontinuous
systems by referencing the stability analysis for limit cycles of
continuous systems, which is different from the previous method of
analog of Poincarè criterion. Finally, we analyze numerically
the theoretical results obtained. |
| format | Article |
| id | doaj-art-78df3f5b70a74fb9a6b64f8dfe06f989 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-78df3f5b70a74fb9a6b64f8dfe06f9892025-02-03T05:51:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/617379617379A Pest Management Model with Stage Structure and Impulsive State Feedback ControlGuoping Pang0Zhiqing Liang1Weijian Xu2Lijie Li3Gang Fu4College of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, ChinaCollege of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, ChinaCollege of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, ChinaCollege of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, ChinaMicrobiology Research Institute, Guangxi Academy of Agricultural Sciences, Nanning 530007, ChinaA pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the stability of the order-1 periodic solution of the semicontinuous systems by referencing the stability analysis for limit cycles of continuous systems, which is different from the previous method of analog of Poincarè criterion. Finally, we analyze numerically the theoretical results obtained.http://dx.doi.org/10.1155/2015/617379 |
| spellingShingle | Guoping Pang Zhiqing Liang Weijian Xu Lijie Li Gang Fu A Pest Management Model with Stage Structure and Impulsive State Feedback Control Discrete Dynamics in Nature and Society |
| title | A Pest Management Model with Stage Structure and Impulsive State Feedback Control |
| title_full | A Pest Management Model with Stage Structure and Impulsive State Feedback Control |
| title_fullStr | A Pest Management Model with Stage Structure and Impulsive State Feedback Control |
| title_full_unstemmed | A Pest Management Model with Stage Structure and Impulsive State Feedback Control |
| title_short | A Pest Management Model with Stage Structure and Impulsive State Feedback Control |
| title_sort | pest management model with stage structure and impulsive state feedback control |
| url | http://dx.doi.org/10.1155/2015/617379 |
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