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Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy
- Source :
-
Nonlinear Analysis: Real World Applications . Feb2010, Vol. 11 Issue 1, p432-445. 14p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 11
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 45070144
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2008.11.017