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author:

He, Mengxin (He, Mengxin.) [1] | Li, Zhong (Li, Zhong.) [2] (Scholars:李忠) | Chen, Fengde (Chen, Fengde.) [3] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

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).

Keyword:

Almost periodic solution Delay Global stability Impulse Permanence

Community:

  • [ 1 ] [He, Mengxin]Fujian Normal Univ, Math Res Ctr, Fuzhou 350117, Fujian, Peoples R China
  • [ 2 ] [He, Mengxin]Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350117, Fujian, Peoples R China
  • [ 3 ] [He, Mengxin]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 4 ] [Li, Zhong]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 5 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

Reprint 's Address:

  • 何梦昕

    [He, Mengxin]Fujian Normal Univ, Math Res Ctr, Fuzhou 350117, Fujian, Peoples R China;;[He, Mengxin]Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350117, Fujian, Peoples R China;;[He, Mengxin]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R 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 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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