A Kind of Forest Disease and Pest Infection Model with Time Delay
Controlling forest diseases and insect pests is beneficial to increase forest carbon sink. It is of great significance to realize China ′s“ double carbon ”strategy. In order to study the impact of forest diseases and insect pests on the forest, the authors establish a delayed differential equati...
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Harbin University of Science and Technology Publications
2024-06-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2342 |
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| author | FEI Xingyan DING Yuting |
| author_facet | FEI Xingyan DING Yuting |
| author_sort | FEI Xingyan |
| collection | DOAJ |
| description |
Controlling forest diseases and insect pests is beneficial to increase forest carbon sink. It is of great significance to realize China ′s“ double carbon ”strategy. In order to study the impact of forest diseases and insect pests on the forest, the authors establish a delayed differential equation model of forest diseases and insect pests infection with saturation incidence, study the existence and stability of the equilibrium and the existence of Hopf bifurcation near the equilibrium. At the same time, the authors use the multiple time scales method to derive the normal form of the system near the critical point of Hopf bifurcation. Based on the data such as the forest inventory report of China, we analyze and predict the parameters of the model, obtain the range of the parameters, select reasonable parameters for numerical simulation, and study the influence of the changes of some parameters. Finally, according to the simulation results, we provide some relevant conclusions and suggestions based on the current situation of forest disease and insect pest prevention and control in forest areas of Heilongjiang Province. |
| format | Article |
| id | doaj-art-d2d566d093724de995b45184d11644fd |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-d2d566d093724de995b45184d11644fd2025-08-20T02:41:31ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-06-01290314915810.15938/j.jhust.2024.03.018A Kind of Forest Disease and Pest Infection Model with Time DelayFEI Xingyan0DING Yuting1College of Science, Northeast Forestry University, Harbin 150000,ChinaCollege of Science, Northeast Forestry University, Harbin 150000,China Controlling forest diseases and insect pests is beneficial to increase forest carbon sink. It is of great significance to realize China ′s“ double carbon ”strategy. In order to study the impact of forest diseases and insect pests on the forest, the authors establish a delayed differential equation model of forest diseases and insect pests infection with saturation incidence, study the existence and stability of the equilibrium and the existence of Hopf bifurcation near the equilibrium. At the same time, the authors use the multiple time scales method to derive the normal form of the system near the critical point of Hopf bifurcation. Based on the data such as the forest inventory report of China, we analyze and predict the parameters of the model, obtain the range of the parameters, select reasonable parameters for numerical simulation, and study the influence of the changes of some parameters. Finally, according to the simulation results, we provide some relevant conclusions and suggestions based on the current situation of forest disease and insect pest prevention and control in forest areas of Heilongjiang Province.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2342forest diseases and insect pestsdelayed differential equationstabilityhopf bifurcationmultiple time scales methodnormal form |
| spellingShingle | FEI Xingyan DING Yuting A Kind of Forest Disease and Pest Infection Model with Time Delay Journal of Harbin University of Science and Technology forest diseases and insect pests delayed differential equation stability hopf bifurcation multiple time scales method normal form |
| title | A Kind of Forest Disease and Pest Infection Model with Time Delay |
| title_full | A Kind of Forest Disease and Pest Infection Model with Time Delay |
| title_fullStr | A Kind of Forest Disease and Pest Infection Model with Time Delay |
| title_full_unstemmed | A Kind of Forest Disease and Pest Infection Model with Time Delay |
| title_short | A Kind of Forest Disease and Pest Infection Model with Time Delay |
| title_sort | kind of forest disease and pest infection model with time delay |
| topic | forest diseases and insect pests delayed differential equation stability hopf bifurcation multiple time scales method normal form |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2342 |
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