Dynamic Behavior of a Stochastic Amensalism Population Model
Aiming at the problem of biased symbiosis dynamics affected by environmental factors, according to the theory of stochastic differential equation, the stochastic biased symbiosis dynamics model is established by introducing white noise, and the dynamic behavior of the stochastic biased symbiosis pop...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2022-06-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2107 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850066196598095872 |
|---|---|
| author | AI Xiao-hui DENG Wen-bo LI Peng-zhe |
| author_facet | AI Xiao-hui DENG Wen-bo LI Peng-zhe |
| author_sort | AI Xiao-hui |
| collection | DOAJ |
| description | Aiming at the problem of biased symbiosis dynamics affected by environmental factors, according to the theory of stochastic differential equation, the stochastic biased symbiosis dynamics model is established by introducing white noise, and the dynamic behavior of the stochastic biased symbiosis population model is studied. Firstly, the existence of global positive solution of the stochastic partial hazard symbiosis dynamics model is proved. Secondly, the stochastic ultimate boundedness of the solution of the stochastic partial hazard symbiosis dynamics model is proved by using the Ito^ formula and Chebyshev inequality. Thirdly, the asymptotic properties of the moment of the solution of the stochastic partial hazard symbiosis dynamics model are analyzed. Finally, the theoretical results are verified by numerical simulation. |
| format | Article |
| id | doaj-art-39bc92b331ec4c28b71c795c7627cc03 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2022-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-39bc92b331ec4c28b71c795c7627cc032025-08-20T02:48:49ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832022-06-01270314014610.15938/j.jhust.2022.03.019Dynamic Behavior of a Stochastic Amensalism Population ModelAI Xiao-hui0DENG Wen-bo1LI Peng-zhe2School of Science, Northeast Forestry University, Harbin 150040, ChinaSchool of Science, Northeast Forestry University, Harbin 150040, ChinaSchool of Science, Northeast Forestry University, Harbin 150040, ChinaAiming at the problem of biased symbiosis dynamics affected by environmental factors, according to the theory of stochastic differential equation, the stochastic biased symbiosis dynamics model is established by introducing white noise, and the dynamic behavior of the stochastic biased symbiosis population model is studied. Firstly, the existence of global positive solution of the stochastic partial hazard symbiosis dynamics model is proved. Secondly, the stochastic ultimate boundedness of the solution of the stochastic partial hazard symbiosis dynamics model is proved by using the Ito^ formula and Chebyshev inequality. Thirdly, the asymptotic properties of the moment of the solution of the stochastic partial hazard symbiosis dynamics model are analyzed. Finally, the theoretical results are verified by numerical simulation.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2107stochastic modelsglobal positive solutionsstochastic ultimate boundednessasymptotic property of moment |
| spellingShingle | AI Xiao-hui DENG Wen-bo LI Peng-zhe Dynamic Behavior of a Stochastic Amensalism Population Model Journal of Harbin University of Science and Technology stochastic models global positive solutions stochastic ultimate boundedness asymptotic property of moment |
| title | Dynamic Behavior of a Stochastic Amensalism Population Model |
| title_full | Dynamic Behavior of a Stochastic Amensalism Population Model |
| title_fullStr | Dynamic Behavior of a Stochastic Amensalism Population Model |
| title_full_unstemmed | Dynamic Behavior of a Stochastic Amensalism Population Model |
| title_short | Dynamic Behavior of a Stochastic Amensalism Population Model |
| title_sort | dynamic behavior of a stochastic amensalism population model |
| topic | stochastic models global positive solutions stochastic ultimate boundedness asymptotic property of moment |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2107 |
| work_keys_str_mv | AT aixiaohui dynamicbehaviorofastochasticamensalismpopulationmodel AT dengwenbo dynamicbehaviorofastochasticamensalismpopulationmodel AT lipengzhe dynamicbehaviorofastochasticamensalismpopulationmodel |