Impulsive Ecological Control Of A Stage-Structured Pest Management System
The dynamics of a stage-structured pest management system isstudied by means of autonomous piecewise linear systems withimpulses governed by state feedback control. The sufficientconditions of existence and stability of periodic solutions areobtained by means of the sequence convergence rule and the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.329 |
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| author | Guirong Jiang Qishao Lu Linping Peng |
| author_facet | Guirong Jiang Qishao Lu Linping Peng |
| author_sort | Guirong Jiang |
| collection | DOAJ |
| description | The dynamics of a stage-structured pest management system isstudied by means of autonomous piecewise linear systems withimpulses governed by state feedback control. The sufficientconditions of existence and stability of periodic solutions areobtained by means of the sequence convergence rule and theanalogue of the Poincaré criterion. The attractive region ofperiodic solutions is investigated theoretically by qualitativeanalysis. The bifurcation diagrams of periodic solutions areobtained by using the Poincaré map, as well as the chaoticsolution generated via a cascade of period-doubling bifurcations.The superiority of the state feedback control strategy is alsodiscussed. |
| format | Article |
| id | doaj-art-5db52d16aec64e8dbdf097cff79a31ae |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5db52d16aec64e8dbdf097cff79a31ae2025-01-24T01:48:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-02-012232934410.3934/mbe.2005.2.329Impulsive Ecological Control Of A Stage-Structured Pest Management SystemGuirong Jiang0Qishao Lu1Linping Peng2Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083The dynamics of a stage-structured pest management system isstudied by means of autonomous piecewise linear systems withimpulses governed by state feedback control. The sufficientconditions of existence and stability of periodic solutions areobtained by means of the sequence convergence rule and theanalogue of the Poincaré criterion. The attractive region ofperiodic solutions is investigated theoretically by qualitativeanalysis. The bifurcation diagrams of periodic solutions areobtained by using the Poincaré map, as well as the chaoticsolution generated via a cascade of period-doubling bifurcations.The superiority of the state feedback control strategy is alsodiscussed.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.329bifurcation.autonomous systems with impulsesprey-predator |
| spellingShingle | Guirong Jiang Qishao Lu Linping Peng Impulsive Ecological Control Of A Stage-Structured Pest Management System Mathematical Biosciences and Engineering bifurcation. autonomous systems with impulses prey-predator |
| title | Impulsive Ecological Control Of A Stage-Structured Pest Management System |
| title_full | Impulsive Ecological Control Of A Stage-Structured Pest Management System |
| title_fullStr | Impulsive Ecological Control Of A Stage-Structured Pest Management System |
| title_full_unstemmed | Impulsive Ecological Control Of A Stage-Structured Pest Management System |
| title_short | Impulsive Ecological Control Of A Stage-Structured Pest Management System |
| title_sort | impulsive ecological control of a stage structured pest management system |
| topic | bifurcation. autonomous systems with impulses prey-predator |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.329 |
| work_keys_str_mv | AT guirongjiang impulsiveecologicalcontrolofastagestructuredpestmanagementsystem AT qishaolu impulsiveecologicalcontrolofastagestructuredpestmanagementsystem AT linpingpeng impulsiveecologicalcontrolofastagestructuredpestmanagementsystem |