A predator-prey model with disease in the prey and two impulses for integrated pest management

被引：68
作者：
Shi, Ruiqing [1 ,2 ]
Jiang, Xiaowu [3 ]
Chen, Lansun [1 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
[3] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Impulsive; Permanent; Susceptible pest-eradication periodic; solution; DYNAMICS;
D O I：
10.1016/j.apm.2008.06.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a predator-prey model with disease in the prey is constructed and investigated for the purpose of integrated pest management. In the first part of the main results, the sufficient condition for the global stability of the susceptible pest-eradication periodic solution is obtained, which means if the release amount of infective prey and predator satisfy the condition, then the pest will be controlled. The sufficient condition for the permanence of the system is also obtained subsequently, which means if the release amount of infective prey and predator satisfy the condition, then the prey and the predator will coexist. At last, we interpret our mathematical results. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：2248 / 2256
页数：9
相关论文
共 30 条
[1]  
[Anonymous], 1991, BIOL CONTROL NATURAL
[2]  
Bainov D., 1993, IMPULSIVE DIFFERENTI, DOI [10.1201/9780203751206, DOI 10.1201/9780203751206]
[3]  
Burges HD, 1971, MICROBIAL CONTROL IN
[4]   Pathogen incidence and their potential as microbial control agents in IPM of maize stem borers in West Africa [J].
Cherry, AJ ;
Lomer, CJ ;
Djegui, D ;
Schulthess, F .
BIOCONTROL, 1999, 44 (03) :301-327
[5]  
DAVIS PE, 1976, THEORY PRACTICE BIOL
[6]   PROBLEMS ASSOCIATED WITH USE OF ARTHROPOD VIRUSES IN PEST-CONTROL [J].
FALCON, LA .
ANNUAL REVIEW OF ENTOMOLOGY, 1976, 21 :305-324
[7]   GRAPHICAL STABILITY, ENRICHMENT, AND PEST-CONTROL BY A NATURAL ENEMY [J].
FREEDMAN, HI .
MATHEMATICAL BIOSCIENCES, 1976, 31 (3-4) :207-225
[8]   INVASION AND CHAOS IN A PERIODICALLY PULSED MASS-ACTION CHEMOSTAT [J].
FUNASAKI, E ;
KOT, M .
THEORETICAL POPULATION BIOLOGY, 1993, 44 (02) :203-224
[9]   Optimal pulse fishing policy in stage-structured models with birth pulses [J].
Gao, SJ ;
Chen, LS ;
Sun, LH .
CHAOS SOLITONS & FRACTALS, 2005, 25 (05) :1209-1219
[10]  
Goh B., 2012, Management and analysis of biological populations
123