Bibliographic Details
| Title: |
The Global Existence and Boundedness of Solutions to a Chemotaxis–Haptotaxis Model with Nonlinear Diffusion and Signal Production |
| Authors: |
Beibei Ai, Zhe Jia |
| Source: |
Mathematics, Vol 12, Iss 16, p 2577 (2024) |
| Publisher Information: |
MDPI AG, 2024. |
| Publication Year: |
2024 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
boundedness, chemotaxis–haptotaxis, nonlinear diffusion, signal production, Mathematics, QA1-939 |
| More Details: |
In this paper, we investigate the following chemotaxis–haptotaxis system (1) with nonlinear diffusion and signal production under homogenous Neumann boundary conditions in a bounded domain with smooth boundary. Under suitable conditions on the data we prove the following: (i) For 0<γ≤2n, if α>γ−k+1 and β>1−k, problem (1) admits a classical solution (u,v,w) which is globally bounded. (ii) For 2n<γ≤1, if α>γ−k+1e+1 and β>max{(nγ−2)(nγ+2k−2)2n−k+1,(nγ−2)(γ+1e)n−k+1} or α>γ−k+1 and β>max{(nγ−2)(nγ+2k−2)2n−k+1,(nγ−2)(α+k−1)n−k+1}, problem (1) admits a classical solution (u,v,w) which is globally bounded. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2227-7390 |
| Relation: |
https://www.mdpi.com/2227-7390/12/16/2577; https://doaj.org/toc/2227-7390 |
| DOI: |
10.3390/math12162577 |
| Access URL: |
https://doaj.org/article/dcf696635a33445ca0cf15acdb872e55 |
| Accession Number: |
edsdoj.f696635a33445ca0cf15acdb872e55 |
| Database: |
Directory of Open Access Journals |
