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Non-constant positive steady-states of a diffusive predator–prey system in homogeneous environment
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2007, Vol. 327 Issue 1, p539-549. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we investigate the existence and non-existence of non-constant positive steady-states of a diffusive predator–prey interaction system under homogeneous Neumann boundary condition. In homogeneous environment, we show that the predator–prey model with Leslie–Gower functional response has no non-constant positive solution, but the system with a general functional response may have at least one non-constant positive steady-state under some conditions. [Copyright &y& Elsevier]
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Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 327
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23161610
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.04.077