Nonlinear analysis of a microbial pesticide model with impulsive state feedback control

被引：23

作者：

Wang, Tieying ^{[1
,2
]}

Chen, Lansun ^{[1
]}

机构：

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

[2] Dalian Nationalities Univ, Coll Sci, Dalian 116605, Peoples R China

来源：

NONLINEAR DYNAMICS | 2011年 / 65卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Entomopathogenic nematode; Impulsive effect; State feedback control; Poincare map; Singular periodic solution; PREDATOR-PREY SYSTEM; PEST-CONTROL; MANAGEMENT; STABILITY;

D O I：

10.1007/s11071-010-9828-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new mathematical model for the entomopathogenic nematode attacking pests with impulsive state feedback control is considered. By using the Poincar, map, we obtain that the system with impulsive state feedback control has a periodic solution of order one. Sufficient conditions for existence and stability of the order one periodic solution are given. Specifically, the system has a singular order one periodic solution. In some cases, it is possible that the system may also have an order two periodic solution. Our results show that the control measure is effective and reliable.

引用

页码：1 / 10

页数：10

共 20 条

[1] MODELS FOR PEST-CONTROL USING PREDATOR RELEASE, HABITAT MANAGEMENT AND PESTICIDE RELEASE IN COMBINATION [J].

BARCLAY, HJ .

JOURNAL OF APPLIED ECOLOGY, 1982, 19 (02) :337-348

[2]

Bhatnagar VK., 2001, ICMR Bull., V31, P87

[3]

Croft B. A., 1990, ARTHROPOD BIOL CONTR

[4] GRAPHICAL STABILITY, ENRICHMENT, AND PEST-CONTROL BY A NATURAL ENEMY [J].

FREEDMAN, HI .

MATHEMATICAL BIOSCIENCES, 1976, 31 (3-4) :207-225

[5] A two-component model of host-parasitoid interactions: determination of the size of inundative releases of parasitoids in biological pest control [J].

Grasman, J ;

van Herwaarden, OA ;

Hemerik, L ;

van Lenteren, JC .

MATHEMATICAL BIOSCIENCES, 2001, 169 (02) :207-216

[6] GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS [J].

Jiao, Jianjun ;

Chen, Lansun .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (02) :197-208

[7]

LENTERN VJC, 1988, ANNU REV ENTOMOL, V33, P239

[8] A total system approach to sustainable pest management [J].

Lewis, WJ ;

vanLenteren, JC ;

Phatak, SC ;

Tumlinson, JH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1997, 94 (23) :12243-12248

[9] THE POTENTIAL OF PREDATORS FOR PEST-CONTROL [J].

LUFF, ML .

AGRICULTURE ECOSYSTEMS & ENVIRONMENT, 1983, 10 (02) :159-181

[10] The dynamics of an age structured predator-prey model with disturbing pulse and time delays [J].

Meng, Xinzhu ;

Hao, Hanjun ;

Chen, Lansun .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (02) :547-561

← 1 2 →