Almost periodic sequence solution of a discrete Hassell-Varley predator-prey system with feedback control

被引：9

作者：

Xie, Xiaoli ^{[1
]}

Zhang, Chunhua ^{[1
]}

Chen, Xiaoxing ^{[1
]}

Chen, Jiangyong ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

关键词：

Discrete predator prey system; Hassell-Varley; Permanence; Almost periodic solution; Feedback control;

D O I：

10.1016/j.amc.2015.06.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a discrete Hassell-Varley response function predator-prey system with feedback control. First, sufficient conditions are established for the permanence of the system. Then, assuming that the coefficients of the system is almost periodic sequences, we obtain conditions for the existence and unique of the almost periodic solution. Moreover, the almost periodic solution we obtained is uniformly asymptotically stable. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：35 / 51

页数：17

共 50 条

[1] POSITIVE PERIODIC SOLUTIONS OF A HASSELL-VARLEY TYPE PREDATOR-PREY SYSTEM
Ko, Wonlyul
Ryu, Kimun
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (06): : 865 - 882
[2] Positive periodic solutions of a Hassell-Varley type predator-prey system
Wonlyul Ko
Kimun Ryu
Indian Journal of Pure and Applied Mathematics, 2013, 44 : 865 - 882
[3] Impulsive state feedback control of Predator-prey System with Hassell-Varley Functional Response
Yan Yan
Wang Kaihua
Gui Zhanji
PROCEEDINGS FIRST INTERNATIONAL CONFERENCE ON ELECTRONICS INSTRUMENTATION & INFORMATION SYSTEMS (EIIS 2017), 2017, : 845 - 848
[4] Periodic solutions for a neutral delay Hassell-Varley type predator-prey system
Zhang, Guodong
Shen, Yi
APPLIED MATHEMATICS AND COMPUTATION, 2015, 264 : 443 - 452
[5] Positive almost periodic solutions for a delayed predator-Prey Model with hassell-varley type functional response
Zhang T.
Pang L.
Liao Y.
Zhang, Tianwei (zhang@kmust.edu.cn), 2016, Association for Scientific Research (21)
[6] Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response
Wu, Runxin
Li, Lin
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[7] Periodic solutions to a delayed predator-prey model with Hassell-Varley type functional response
Wang, Kai
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 137 - 145
[8] The dynamical complexity of a predator-prey system with Hassell-Varley functional response and impulsive effect
Kim, Hye Kyung
Baek, Hunki
MATHEMATICS AND COMPUTERS IN SIMULATION, 2013, 94 : 1 - 14
[9] Dynamics analysis of a Hassell-Varley predator-prey model with prey refuge and impulsive diffusion
Deng, Yiping
Xiong, Zuoliang
Wei, Qiuyu
Journal of Computational Information Systems, 2012, 8 (22): : 9151 - 9158
[10] Global dynamics of a predator-prey model with Hassell-Varley Type functional response
Hsu, Sze-Bi
Hwang, Tzy-Wei
Kuang, Yang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 10 (04): : 857 - 871

← 1 2 3 4 5 →