TY - JOUR
T1 - Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy
AU - Liu, Zhijun
AU - Wu, Jianhua
AU - Chen, Yiping
AU - Haque, Mainul
PY - 2010/2/1
Y1 - 2010/2/1
N2 - 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.
AB - 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.
U2 - 10.1016/j.nonrwa.2008.11.017
DO - 10.1016/j.nonrwa.2008.11.017
M3 - Article
SN - 1468-1218
VL - 11
SP - 432
EP - 445
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 1
ER -