Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy
In this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if R1>1, then the disease is persistent; moreover, if R2>1, then the solutions of the system have...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5550131 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548910686535680 |
|---|---|
| author | Haisu Zhang Tongqian Zhang |
| author_facet | Haisu Zhang Tongqian Zhang |
| author_sort | Haisu Zhang |
| collection | DOAJ |
| description | In this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if R1>1, then the disease is persistent; moreover, if R2>1, then the solutions of the system have a stationary distribution. For the special case, we prove that if R1<1, then the disease will eventually disappear. Finally, some numerical simulations were implemented to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-b2f917ff23e84ca7a567a0675a10f40a |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b2f917ff23e84ca7a567a0675a10f40a2025-02-03T06:12:48ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55501315550131Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control StrategyHaisu Zhang0Tongqian Zhang1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, a new stochastic plant disease model with continuous control strategy is proposed and analyzed. The dynamics of the system are explored under white noise disturbance. We prove that if R1>1, then the disease is persistent; moreover, if R2>1, then the solutions of the system have a stationary distribution. For the special case, we prove that if R1<1, then the disease will eventually disappear. Finally, some numerical simulations were implemented to illustrate the theoretical results.http://dx.doi.org/10.1155/2021/5550131 |
| spellingShingle | Haisu Zhang Tongqian Zhang Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy Complexity |
| title | Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy |
| title_full | Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy |
| title_fullStr | Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy |
| title_full_unstemmed | Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy |
| title_short | Dynamics Analysis of a Stochastic Plant Disease Model with Continuous Cultural Control Strategy |
| title_sort | dynamics analysis of a stochastic plant disease model with continuous cultural control strategy |
| url | http://dx.doi.org/10.1155/2021/5550131 |
| work_keys_str_mv | AT haisuzhang dynamicsanalysisofastochasticplantdiseasemodelwithcontinuousculturalcontrolstrategy AT tongqianzhang dynamicsanalysisofastochasticplantdiseasemodelwithcontinuousculturalcontrolstrategy |