Dynamics of an impulsive model of plankton allelopathy with delays

被引：5

作者：

He, Mengxin ^{[1
,2
,3
]}

Li, Zhong ^{[3
]}

Chen, Fengde ^{[3
]}

机构：

[1] Fujian Normal Univ, Math Res Ctr, Fuzhou 350117, Fujian, Peoples R China

[2] Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350117, Fujian, Peoples R China

[3] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期

关键词：

Permanence; Global stability; Almost periodic solution; Impulse; Delay; DIFFERENTIAL EQUATIONS MODEL; 2-SPECIES COMPETITIVE SYSTEM; TOXIC-SUBSTANCES; GLOBAL STABILITY; PERMANENCE; EXTINCTION;

D O I：

10.1007/s12190-016-1069-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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).

引用

页码：749 / 762

页数：14

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