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.
Original language | English |
---|---|
Pages (from-to) | 432-445 |
Number of pages | 14 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 11 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 2010 |
Externally published | Yes |
Keywords
- Delay
- Extinction
- Impulse
- Permanence
- Positive periodic solution
ASJC Scopus subject areas
- Analysis
- General Engineering
- General Economics,Econometrics and Finance
- Computational Mathematics
- Applied Mathematics