A stochastic predator–prey model for integrated pest management
Abstract This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulation...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2291-1 |
| _version_ | 1828833792895221760 |
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| author | Lidong Huang Xingshu Chen Xuewen Tan Xiaochou Chen Xinzhi Liu |
| author_facet | Lidong Huang Xingshu Chen Xuewen Tan Xiaochou Chen Xinzhi Liu |
| author_sort | Lidong Huang |
| collection | DOAJ |
| description | Abstract This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulations are carried out to illustrate our theoretical results and facilitate their interpretation. |
| first_indexed | 2024-12-12T17:26:47Z |
| format | Article |
| id | doaj.art-56ba7acb795a42a68a774516abc39edd |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T17:26:47Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-56ba7acb795a42a68a774516abc39edd2022-12-22T00:17:30ZengSpringerOpenAdvances in Difference Equations1687-18472019-08-012019111010.1186/s13662-019-2291-1A stochastic predator–prey model for integrated pest managementLidong Huang0Xingshu Chen1Xuewen Tan2Xiaochou Chen3Xinzhi Liu4College of Computer Science, Sichuan UniversityCollege of Computer Science, Sichuan UniversitySchool of Mathematics and Computer Science, Yunnan Minzu UniversityKey Laboratory of IOT Application Technology of Universities in Yunnan Province, Yunnan Minzu UniversityDepartment of Applied Mathematics, University of WaterlooAbstract This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulations are carried out to illustrate our theoretical results and facilitate their interpretation.http://link.springer.com/article/10.1186/s13662-019-2291-1Integrated pest managementPredator–prey modelPest extinctionImpulsive effects |
| spellingShingle | Lidong Huang Xingshu Chen Xuewen Tan Xiaochou Chen Xinzhi Liu A stochastic predator–prey model for integrated pest management Advances in Difference Equations Integrated pest management Predator–prey model Pest extinction Impulsive effects |
| title | A stochastic predator–prey model for integrated pest management |
| title_full | A stochastic predator–prey model for integrated pest management |
| title_fullStr | A stochastic predator–prey model for integrated pest management |
| title_full_unstemmed | A stochastic predator–prey model for integrated pest management |
| title_short | A stochastic predator–prey model for integrated pest management |
| title_sort | stochastic predator prey model for integrated pest management |
| topic | Integrated pest management Predator–prey model Pest extinction Impulsive effects |
| url | http://link.springer.com/article/10.1186/s13662-019-2291-1 |
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