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Coexistence states for a diffusive one-prey and two-predators model with B–D functional response
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2012, Vol. 387 Issue 2, p931-948. 18p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, we study a diffusive one-prey and two-predators system with Beddington–DeAngelis functional response. The sufficient and necessary conditions for the existence of coexistence states are obtained by means of the fixed point index theory. In addition, the stability and uniqueness of coexistence states are investigated. Finally, we give the sufficient conditions for extinction and permanence of the time-dependent system. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 387
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 67134653
- Full Text :
- https://doi.org/10.1016/j.jmaa.2011.09.049