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Stability of non-autonomous population models with bounded and periodic enforcement.
- Source :
- Journal of Difference Equations & Applications; Jul2009, Vol. 15 Issue 7, p649-658, 10p
- Publication Year :
- 2009
-
Abstract
- The paper presents theorems on the global asymptotic behaviour of non-autonomous population models which for the special case of periodically forced populations generalize known results. It is shown that a non-autonomous discrete dynamical system on an interval possesses the property of path stability, if the system is given by cave functions. From this it follows for a periodic system with strictly cave functions that there exists a globally asymptotically stable cycle. Old and new examples are discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 15
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 40830815
- Full Text :
- https://doi.org/10.1080/10236190802258685