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Effect of prey‐taxis and diffusion on positive steady states for a predator‐prey system.
- Source :
-
Mathematical Methods in the Applied Sciences . 7/15/2018, Vol. 41 Issue 10, p3570-3587. 18p. - Publication Year :
- 2018
-
Abstract
- In this paper, we consider a generalized predator‐prey system with prey‐taxis under the Neumann boundary condition. We investigate the local and global asymptotical stability of constant steady states (including trivial, semitrivial, and interior constant steady states). On the basis of a priori estimate and the fixed‐point index theory, several sufficient conditions for the nonexistence/existence of nonconstant positive solutions are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 41
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 130266620
- Full Text :
- https://doi.org/10.1002/mma.4847