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Positive solutions for ratio-dependent predator–prey interaction systems
- Source :
-
Journal of Differential Equations . Nov2005, Vol. 218 Issue 1, p117-135. 19p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, we study the dynamics of predator–prey interaction systems between two species with ratio-dependent functional responses. First we provide sufficient and necessary conditions for positive steady-state solutions, and then we investigate the relationships between positive equilibria and positive solutions of the system over a large domain. Furthermore, we deal with the uniqueness and the stability of positive steady-states solutions with some assumptions. In addition, we discuss the extinction and the persistence results of time-dependent positive solutions to the system. [Copyright &y& Elsevier]
- Subjects :
- *MECHANICS (Physics)
*PAPER
*PHYSICS
*DYNAMICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 218
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 18779064
- Full Text :
- https://doi.org/10.1016/j.jde.2005.06.020