Logistic damping effect in chemotaxis models with density-suppressed motility
This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-09-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0263 |
| _version_ | 1811205240169431040 |
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| author | Lyu Wenbin Wang Zhi-An |
| author_facet | Lyu Wenbin Wang Zhi-An |
| author_sort | Lyu Wenbin |
| collection | DOAJ |
| description | This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions. |
| first_indexed | 2024-04-12T03:28:40Z |
| format | Article |
| id | doaj.art-969f352275d54e4f9f05a958f57f8de7 |
| institution | Directory Open Access Journal |
| issn | 2191-950X |
| language | English |
| last_indexed | 2024-04-12T03:28:40Z |
| publishDate | 2022-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advances in Nonlinear Analysis |
| spelling | doaj.art-969f352275d54e4f9f05a958f57f8de72022-12-22T03:49:37ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2022-09-0112133635510.1515/anona-2022-0263Logistic damping effect in chemotaxis models with density-suppressed motilityLyu Wenbin0Wang Zhi-An1School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P. R. ChinaDepartment of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong KongThis paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions.https://doi.org/10.1515/anona-2022-0263chemotaxisdensity-suppressed motilitylogistic sourceglobal boundednessasymptotic behavior35a0135b3535b4535b5135q92 |
| spellingShingle | Lyu Wenbin Wang Zhi-An Logistic damping effect in chemotaxis models with density-suppressed motility Advances in Nonlinear Analysis chemotaxis density-suppressed motility logistic source global boundedness asymptotic behavior 35a01 35b35 35b45 35b51 35q92 |
| title | Logistic damping effect in chemotaxis models with density-suppressed motility |
| title_full | Logistic damping effect in chemotaxis models with density-suppressed motility |
| title_fullStr | Logistic damping effect in chemotaxis models with density-suppressed motility |
| title_full_unstemmed | Logistic damping effect in chemotaxis models with density-suppressed motility |
| title_short | Logistic damping effect in chemotaxis models with density-suppressed motility |
| title_sort | logistic damping effect in chemotaxis models with density suppressed motility |
| topic | chemotaxis density-suppressed motility logistic source global boundedness asymptotic behavior 35a01 35b35 35b45 35b51 35q92 |
| url | https://doi.org/10.1515/anona-2022-0263 |
| work_keys_str_mv | AT lyuwenbin logisticdampingeffectinchemotaxismodelswithdensitysuppressedmotility AT wangzhian logisticdampingeffectinchemotaxismodelswithdensitysuppressedmotility |