Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting
Abstract In this work, we present a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting. We obtain globally asymptotically stable conditions for the phytoplankton-extinction periodic solution of system (2.1). Furthermore, we gain the permanent conditions for...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03434-5 |
| _version_ | 1818440818918162432 |
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| author | Jianjun Jiao Wenyan Tang |
| author_facet | Jianjun Jiao Wenyan Tang |
| author_sort | Jianjun Jiao |
| collection | DOAJ |
| description | Abstract In this work, we present a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting. We obtain globally asymptotically stable conditions for the phytoplankton-extinction periodic solution of system (2.1). Furthermore, we gain the permanent conditions for system (2.1). Finally, we employ computer simulations to illustrate the results. Our results indicate the effective controlling strategy for water resource management. |
| first_indexed | 2024-12-14T18:18:24Z |
| format | Article |
| id | doaj.art-5add8881759d4b5caecee84b391e2f65 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T18:18:24Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-5add8881759d4b5caecee84b391e2f652022-12-21T22:52:07ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021111610.1186/s13662-021-03434-5Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputtingJianjun Jiao0Wenyan Tang1School of Mathematics and Statistics, Guizhou University of Finance and EconomicsSchool of Mathematics and Statistics, Guizhou University of Finance and EconomicsAbstract In this work, we present a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting. We obtain globally asymptotically stable conditions for the phytoplankton-extinction periodic solution of system (2.1). Furthermore, we gain the permanent conditions for system (2.1). Finally, we employ computer simulations to illustrate the results. Our results indicate the effective controlling strategy for water resource management.https://doi.org/10.1186/s13662-021-03434-5Lake-eutrophication modelNontransient/transient impulsive dredgingPulse inputtingPhytoplankton-extinction |
| spellingShingle | Jianjun Jiao Wenyan Tang Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting Advances in Difference Equations Lake-eutrophication model Nontransient/transient impulsive dredging Pulse inputting Phytoplankton-extinction |
| title | Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting |
| title_full | Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting |
| title_fullStr | Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting |
| title_full_unstemmed | Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting |
| title_short | Dynamics of a lake-eutrophication model with nontransient/transient impulsive dredging and pulse inputting |
| title_sort | dynamics of a lake eutrophication model with nontransient transient impulsive dredging and pulse inputting |
| topic | Lake-eutrophication model Nontransient/transient impulsive dredging Pulse inputting Phytoplankton-extinction |
| url | https://doi.org/10.1186/s13662-021-03434-5 |
| work_keys_str_mv | AT jianjunjiao dynamicsofalakeeutrophicationmodelwithnontransienttransientimpulsivedredgingandpulseinputting AT wenyantang dynamicsofalakeeutrophicationmodelwithnontransienttransientimpulsivedredgingandpulseinputting |