Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control
This paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/2560195 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562667370315776 |
|---|---|
| author | Jianglin Zhao Yong Yan |
| author_facet | Jianglin Zhao Yong Yan |
| author_sort | Jianglin Zhao |
| collection | DOAJ |
| description | This paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and the intensity of the impulses. The numerical analysis is performed to study the effect of seasonality and impulsive perturbations on plankton dynamics. The numerical results imply that the seasonal forcing can trigger more periodic mode and the impulsive period for control of the size of phytoplankton is more practicable to the system than the impulsive release of zooplankton. These conclusions provide a better understanding of controlling harmful algae blooms. |
| format | Article |
| id | doaj-art-4698259af26b4947b884d51fee375338 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4698259af26b4947b884d51fee3753382025-02-03T01:22:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/25601952560195Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological ControlJianglin Zhao0Yong Yan1Department of Mathematics, Sichuan Minzu College, Kangding 626001, ChinaDepartment of Mathematics, Sichuan Minzu College, Kangding 626001, ChinaThis paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and the intensity of the impulses. The numerical analysis is performed to study the effect of seasonality and impulsive perturbations on plankton dynamics. The numerical results imply that the seasonal forcing can trigger more periodic mode and the impulsive period for control of the size of phytoplankton is more practicable to the system than the impulsive release of zooplankton. These conclusions provide a better understanding of controlling harmful algae blooms.http://dx.doi.org/10.1155/2016/2560195 |
| spellingShingle | Jianglin Zhao Yong Yan Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control Discrete Dynamics in Nature and Society |
| title | Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control |
| title_full | Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control |
| title_fullStr | Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control |
| title_full_unstemmed | Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control |
| title_short | Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control |
| title_sort | dynamics of a seasonally forced phytoplankton zooplankton model with impulsive biological control |
| url | http://dx.doi.org/10.1155/2016/2560195 |
| work_keys_str_mv | AT jianglinzhao dynamicsofaseasonallyforcedphytoplanktonzooplanktonmodelwithimpulsivebiologicalcontrol AT yongyan dynamicsofaseasonallyforcedphytoplanktonzooplanktonmodelwithimpulsivebiologicalcontrol |