A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect

被引：2

作者：

Li, Zuxiong ^{[1
,2
,3
]}

机构：

[1] Hubei Univ Nationalities, Key Lab Biol Resources Protect & Utilizat Hubei P, Enshi 445000, Peoples R China

[2] Hubei Univ Nationalities, Dept Math, Enshi 445000, Peoples R China

[3] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2011年 / 24卷 / 06期

关键词：

Globally attractivity; impulsive effect; permanence; ratio-dependent; stage-structured; COMPETITIVE SYSTEM; GLOBAL STABILITY; EPIDEMIC MODEL; PERMANENCE; DYNAMICS; EXTINCTION; STOCKING; PULSE;

D O I：

10.1007/s11424-011-8198-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a delayed ratio-dependent Holling-III predator-prey system with stagestructured and impulsive stocking on prey and continuous harvesting on predator is considered. The authors obtain sufficient conditions of the global attractivity of predator-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system. The authors also prove that all solutions of the system are uniformly ultimately bounded. The results show that the biological resource management is effective and reliable.

引用

页码：1118 / 1129

页数：12

共 50 条

[1] A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect
Zuxiong LI
[J]. Journal of Systems Science and Complexity, 2011, 24 : 1118 - 1129
[2] Periodicity in a ratio-dependent predator-prey system with stage-structured predator on time scales
Zhang, Weipeng
Bi, Ping
Zhu, Deming
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (02) : 344 - 353
[3] Dynamics of a ratio-dependent stage-structured predator-prey model with delay
Song, Yongli
Yin, Tao
Shu, Hongying
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (18) : 6451 - 6467
[4] A delayed stage-structured predator-prey model with impulsive perturbations on predator
Wang, Wei
Xiong, Zuoliang
Zou, Ling
[J]. 2009 3RD INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICAL ENGINEERING, VOLS 1-11, 2009, : 3068 - 3071
[5] Dynamics behaviors of a delayed stage-structured predator-prey model with impulsive effect
Jiang, Xiaowu
Song, Qiang
Hao, Meiying
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (12) : 4221 - 4229
[6] Complex dynamics of a delayed stage-structured predator-prey model with impulsive effect
Zhao Z.
[J]. Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 183 - 197
[7] The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System
Jiao, Jianjun
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[8] An impulsive ratio-dependent predator-prey system with diffusion
Akhmet, M. U.
Beklioglu, M.
Ergenc, T.
Tkachenko, V. I.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (05) : 1255 - 1267
[9] Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
焦建军
陈兰荪
[J]. Applied Mathematics and Mechanics(English Edition), 2007, (12) : 1679 - 1689
[10] Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
Jian-jun Jiao
Lan-sun Chen
[J]. Applied Mathematics and Mechanics, 2007, 28 : 1679 - 1689

← 1 2 3 4 5 →