Dynamic Analysis of a Model for Spruce Budworm Populations with Delay
A class of delayed spruce budworm population model is considered. Compared with previous studies, both autonomous and nonautonomous delayed spruce budworm population models are considered. By using the inequality techniques, continuation theorem, and the construction of suitable Lyapunov functional,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/1091716 |
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| _version_ | 1832560527375597568 |
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| author | Ahmadjan Muhammadhaji Azhar Halik |
| author_facet | Ahmadjan Muhammadhaji Azhar Halik |
| author_sort | Ahmadjan Muhammadhaji |
| collection | DOAJ |
| description | A class of delayed spruce budworm population model is considered. Compared with previous studies, both autonomous and nonautonomous delayed spruce budworm population models are considered. By using the inequality techniques, continuation theorem, and the construction of suitable Lyapunov functional, we establish a set of easily verifiable sufficient conditions on the permanence, existence, and global attractivity of positive periodic solutions for the considered system. Finally, an example and its numerical simulation are given to illustrate our main results. |
| format | Article |
| id | doaj-art-71bf757c54514c128c51c9df2ecca2e8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-71bf757c54514c128c51c9df2ecca2e82025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/10917161091716Dynamic Analysis of a Model for Spruce Budworm Populations with DelayAhmadjan Muhammadhaji0Azhar Halik1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaA class of delayed spruce budworm population model is considered. Compared with previous studies, both autonomous and nonautonomous delayed spruce budworm population models are considered. By using the inequality techniques, continuation theorem, and the construction of suitable Lyapunov functional, we establish a set of easily verifiable sufficient conditions on the permanence, existence, and global attractivity of positive periodic solutions for the considered system. Finally, an example and its numerical simulation are given to illustrate our main results.http://dx.doi.org/10.1155/2021/1091716 |
| spellingShingle | Ahmadjan Muhammadhaji Azhar Halik Dynamic Analysis of a Model for Spruce Budworm Populations with Delay Journal of Function Spaces |
| title | Dynamic Analysis of a Model for Spruce Budworm Populations with Delay |
| title_full | Dynamic Analysis of a Model for Spruce Budworm Populations with Delay |
| title_fullStr | Dynamic Analysis of a Model for Spruce Budworm Populations with Delay |
| title_full_unstemmed | Dynamic Analysis of a Model for Spruce Budworm Populations with Delay |
| title_short | Dynamic Analysis of a Model for Spruce Budworm Populations with Delay |
| title_sort | dynamic analysis of a model for spruce budworm populations with delay |
| url | http://dx.doi.org/10.1155/2021/1091716 |
| work_keys_str_mv | AT ahmadjanmuhammadhaji dynamicanalysisofamodelforsprucebudwormpopulationswithdelay AT azharhalik dynamicanalysisofamodelforsprucebudwormpopulationswithdelay |