A Pest Control Model with Periodic Coefficients and Impulses

被引：2

作者：

Wang, Sujing ^{[1
]}

Dou, Jiawei ^{[1
]}

Lu, Lala ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

2011 INTERNATIONAL CONFERENCE ON ENVIRONMENT SCIENCE AND BIOTECHNOLOGY (ICESB 2011) | 2011年 / 8卷

关键词：

Impulsive pest control; predator-prey system; periodic solution; globally asymptotic stability; permanent;

D O I：

10.1016/j.proenv.2011.10.079

中图分类号：

Q81 [生物工程学（生物技术）]; Q93 [微生物学];

学科分类号：

071005 ; 0836 ; 090102 ; 100705 ;

摘要：

In this paper, we consider a pest control model with natural enemy releases. The mathematical problem involves a predator-prey system with periodic coefficients and pulse conditions. First, we show that the system has a unique pest-free periodic solution, which is globally asymptotically stable under certain condition. Furthermore, we prove that the system is permanent if the pest-free periodic solution is unstable. The results generalize some conclusions in [8,9] for the system with constant coefficients. Some computer simulations are made to demonstrate the main results. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of the Asia-Pacific Chemical, Biological & Environmental Engineering Society (APCBEES)

引用

页码：506 / 513

页数：8

共 50 条

[31] Dynamics of almost periodic Schoener's competition model with time delays and impulses
Li, Can
Guo, Zunguang
Zhang, Zhiyu
SPRINGERPLUS, 2016, 5
[32] Positive periodic solutions generated by impulses for the delay Nicholson's blowflies model
Dai, Binxiang
Bao, Longsheng
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (04) : 1 - 11
[33] Global attractivity of the almost periodic solution of a delay logistic population model with impulses
Wang, Qi
Zhang, Hongyan
Ding, Minmin
Wang, Zhijie
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (12) : 3688 - 3697
[34] Dynamic analysis on an almost periodic predator-prey model with impulses effects
Wang, Lili (ay_wanglili@126.com), 2018, International Association of Engineers (26)
[35] Cooperation and Stability through Periodic Impulses
Zhang, Bo-Yu
Cressman, Ross
Tao, Yi
PLOS ONE, 2010, 5 (03):
[36] Periodic and homoclinic solutions generated by impulses
Zhang, Hao
Li, Zhixiang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 39 - 51
[37] Bimatrix Replicator Dynamics with Periodic Impulses
An, Xinmiao
Wang, Xiaomin
Zhang, Boyu
DYNAMIC GAMES AND APPLICATIONS, 2020, 10 (03) : 676 - 694
[38] Bimatrix Replicator Dynamics with Periodic Impulses
Xinmiao An
Xiaomin Wang
Boyu Zhang
Dynamic Games and Applications, 2020, 10 : 676 - 694
[39] Oscillation and global attractivity in hematopoiesis model with periodic coefficients
Saker, SH
APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (2-3) : 477 - 494
[40] On new equivalent matrix model for systems with periodic coefficients
Voevoda, AA
Khassoounekh, V
KORUS 2000: 4TH KOREA-RUSSIA INTERNATIONAL SYMPOSIUM ON SCIENCE AND TECHNOLOGY, PT 2, PROCEEDINGS: ELECTRONICS AND INFORMATION TECHNOLOGY, 2000, : 170 - 172

← 1 2 3 4 5 →