A mathematical model study on plant root pest management
Unlike conventional methods of pests control, introducing in an appropriate mathematical model can contribute a batter performance on pests control with higher efficiency while lest damage to ecosystem. To fill the research gap on plant root pest control, we propose a plant root pest management mode...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023504?viewType=HTML |
| _version_ | 1811157960255078400 |
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| author | Lizhuang Huang Yuan Zhuang Qiong Liu |
| author_facet | Lizhuang Huang Yuan Zhuang Qiong Liu |
| author_sort | Lizhuang Huang |
| collection | DOAJ |
| description | Unlike conventional methods of pests control, introducing in an appropriate mathematical model can contribute a batter performance on pests control with higher efficiency while lest damage to ecosystem. To fill the research gap on plant root pest control, we propose a plant root pest management model with state pulse feedback control. Firstly, the stability of the equilibrium point of the model (1.3) is analyzed by using the linear approximate equation, given that the only positive equilibrium point of model (1.3) is globally asymptotically stable. Moreover, the existence and uniqueness of order 1 periodic solutions of model (1.3) are discussed in detail according to the geometric theory of semi-continuous dynamical systems, successor functions method and the qualitative theory of differential equations. Finally, with further analysis in different methods, the asymptotic stability of the order 1 periodic solution of model (1.3) is obtained by using Similar Poincare Criterion or interval set theorem. The results show that this model can effectively control the number of pests below the economic level of damage. |
| first_indexed | 2024-04-10T05:16:20Z |
| format | Article |
| id | doaj.art-cd29cf655d9c407fae6c43a0b869d225 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T05:16:20Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-cd29cf655d9c407fae6c43a0b869d2252023-03-09T01:18:05ZengAIMS PressAIMS Mathematics2473-69882023-02-01849965998110.3934/math.2023504A mathematical model study on plant root pest managementLizhuang Huang0Yuan Zhuang 1Qiong Liu21. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China2. College of Mechanical, Naval Architecture & Ocean Engineering, Beibu Gulf University, Qinzhou, 535011, China3. College of Science, Beibu Gulf University, Qinzhou, 535011, ChinaUnlike conventional methods of pests control, introducing in an appropriate mathematical model can contribute a batter performance on pests control with higher efficiency while lest damage to ecosystem. To fill the research gap on plant root pest control, we propose a plant root pest management model with state pulse feedback control. Firstly, the stability of the equilibrium point of the model (1.3) is analyzed by using the linear approximate equation, given that the only positive equilibrium point of model (1.3) is globally asymptotically stable. Moreover, the existence and uniqueness of order 1 periodic solutions of model (1.3) are discussed in detail according to the geometric theory of semi-continuous dynamical systems, successor functions method and the qualitative theory of differential equations. Finally, with further analysis in different methods, the asymptotic stability of the order 1 periodic solution of model (1.3) is obtained by using Similar Poincare Criterion or interval set theorem. The results show that this model can effectively control the number of pests below the economic level of damage.https://www.aimspress.com/article/doi/10.3934/math.2023504?viewType=HTMLplant rootstate pulsepest managementorder 1 periodic solutionsglobally asymptotically stable |
| spellingShingle | Lizhuang Huang Yuan Zhuang Qiong Liu A mathematical model study on plant root pest management AIMS Mathematics plant root state pulse pest management order 1 periodic solutions globally asymptotically stable |
| title | A mathematical model study on plant root pest management |
| title_full | A mathematical model study on plant root pest management |
| title_fullStr | A mathematical model study on plant root pest management |
| title_full_unstemmed | A mathematical model study on plant root pest management |
| title_short | A mathematical model study on plant root pest management |
| title_sort | mathematical model study on plant root pest management |
| topic | plant root state pulse pest management order 1 periodic solutions globally asymptotically stable |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023504?viewType=HTML |
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