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Global existence of classical solutions to the cross-diffusion three-species model with prey-taxis.
- Source :
-
Computers & Mathematics with Applications . Sep2016, Vol. 72 Issue 5, p1394-1401. 8p. - Publication Year :
- 2016
-
Abstract
- This paper deals with the cross-diffusion three-species model with prey-taxis incorporating Beddington–DeAngelis response under homogeneous Neumann boundary condition. In addition to random diffusion, the predators and preys have cross-diffusion and prey-taxis during the process of interaction. By applying the contraction mapping principle, the Hölder continuity, the parabolic Schauder estimates and parabolic L p estimates, we prove that there exists a unique global classical solution of this system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 72
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 117518291
- Full Text :
- https://doi.org/10.1016/j.camwa.2016.07.002