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author:

He, Mengxin (He, Mengxin.) [1] | Li, Zhong (Li, Zhong.) [2] | Chen, Fengde (Chen, Fengde.) [3]

Indexed by:

EI

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). © 2017, Korean Society for Computational and Applied Mathematics.

Keyword:

Differential equations Lyapunov functions Plankton

Community:

  • [ 1 ] [He, Mengxin]Mathematics Research Center & College of Mathematics and Computer Science, Fujian Normal University, Fuzhou; 350117, China
  • [ 2 ] [He, Mengxin]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; Fujian; 350116, China
  • [ 3 ] [Li, Zhong]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; Fujian; 350116, China
  • [ 4 ] [Chen, Fengde]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; Fujian; 350116, China

Reprint 's Address:

  • [he, mengxin]college of mathematics and computer science, fuzhou university, fuzhou; fujian; 350116, china;;[he, mengxin]mathematics research center & college of mathematics and computer science, fujian normal university, fuzhou; 350117, china

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Source :

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 HC Threshold:71

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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