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Abstract:
In this paper, we consider an impulsive model of plankton allelopathy with delays. By applying the comparison theorem and constructing some suitable Lyapunov functional, we discuss the permanence and global attractivity of the system. Our result generalizes the corresponding one of Abbas et al. (Nonlinear Dyn 67: 203-214, 2012). We also obtain sufficient conditions ensuring the existence of a unique strictly positive almost periodic solution based on almost periodic functional hull theory of the impulsive differential equations. For the system without delays, our results weaken those of He et al. (Nonlinear Anal 11: 2296-2301, 2010).
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JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN: 1598-5865
Year: 2017
Issue: 1-2
Volume: 55
Page: 749-762
2 . 4 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:71
Cited Count:
WoS CC Cited Count: 5
SCOPUS Cited Count: 9
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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