A nonlocal population model for the invasion of Canada goldenrod
A mathematical model for the population invasion of Canada goldenrod is proposed, with two reproductive modes, yearly periodic time delay and spatially nonlocal response caused by the influence of wind on the seeds. Under suitable conditions, we obtain the existence of the rightward and leftward inv...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022462?viewType=HTML |
| _version_ | 1811312240273391616 |
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| author | Jian Fang Na Li Chenhe Xu |
| author_facet | Jian Fang Na Li Chenhe Xu |
| author_sort | Jian Fang |
| collection | DOAJ |
| description | A mathematical model for the population invasion of Canada goldenrod is proposed, with two reproductive modes, yearly periodic time delay and spatially nonlocal response caused by the influence of wind on the seeds. Under suitable conditions, we obtain the existence of the rightward and leftward invasion speeds and their coincidence with the minimal speeds of time periodic traveling waves. Furthermore, the invasion speeds are finite if the dispersal kernel of seeds is exponentially bounded and infinite if dispersal kernel is exponentially unbounded. |
| first_indexed | 2024-04-13T10:33:53Z |
| format | Article |
| id | doaj.art-5b3f55ff233f472099d6d7bea0c3314a |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-13T10:33:53Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-5b3f55ff233f472099d6d7bea0c3314a2022-12-22T02:50:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-07-0119109915993710.3934/mbe.2022462A nonlocal population model for the invasion of Canada goldenrodJian Fang0Na Li1Chenhe Xu21. School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China1. School of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China2. Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon Hong Kong, ChinaA mathematical model for the population invasion of Canada goldenrod is proposed, with two reproductive modes, yearly periodic time delay and spatially nonlocal response caused by the influence of wind on the seeds. Under suitable conditions, we obtain the existence of the rightward and leftward invasion speeds and their coincidence with the minimal speeds of time periodic traveling waves. Furthermore, the invasion speeds are finite if the dispersal kernel of seeds is exponentially bounded and infinite if dispersal kernel is exponentially unbounded.https://www.aimspress.com/article/doi/10.3934/mbe.2022462?viewType=HTMLcanada goldenrodperiodic delaynonlocal dispersalpropagation dynamics |
| spellingShingle | Jian Fang Na Li Chenhe Xu A nonlocal population model for the invasion of Canada goldenrod Mathematical Biosciences and Engineering canada goldenrod periodic delay nonlocal dispersal propagation dynamics |
| title | A nonlocal population model for the invasion of Canada goldenrod |
| title_full | A nonlocal population model for the invasion of Canada goldenrod |
| title_fullStr | A nonlocal population model for the invasion of Canada goldenrod |
| title_full_unstemmed | A nonlocal population model for the invasion of Canada goldenrod |
| title_short | A nonlocal population model for the invasion of Canada goldenrod |
| title_sort | nonlocal population model for the invasion of canada goldenrod |
| topic | canada goldenrod periodic delay nonlocal dispersal propagation dynamics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022462?viewType=HTML |
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