MICROBIAL PEST CONTROL: A MATHEMATICAL MODEL

被引：6
作者：
Pathak, Sweta [2 ]
Maiti, Alakes [1 ]
机构：
[1] Presidency Coll, Dept Math, Kolkata 700073, W Bengal, India
[2] Belur Girls High Sch, Belurmath 711202, Howrah, India
来源：
JOURNAL OF BIOLOGICAL SYSTEMS | 2010年 / 18卷 / 02期
关键词：
Pest; Microbial Agent; Stability; Time-delay; Hopf Bifurcation; BIOLOGICAL-CONTROL; ENTOMOPATHOGENIC FUNGI; MANAGEMENT; INFECTION; VIRUS; POPULATION; COLEOPTERA; DYNAMICS; RELEASE;
D O I：
10.1142/S0218339010003317
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The traditional method for controlling pests is the application of chemical pesticides. Growing concern on the negative effects of chemicals has encouraged the development of alternatives. Inundatively and inoculatively applied microbial control agents (virus, bacteria, fungi, and entomopathogenic nematodes) have been developed as alternative control methods of a wide variety of pests. A mathematical model for microbial control of pests is formulated in this paper. The dynamical characteristics of the system are studied. The role of time-delay has been discussed. Numerical simulations are carried out to illustrate the analytical findings. Biological implications have been discussed.
引用
收藏
页码：455 / 478
页数：24
相关论文
共 62 条
[1]  
[Anonymous], 1989, Biological Delay Systems: Linear Stability Theory
[2]   Modeling and analysis of a marine bacteriophage infection with latency period [J].
Beretta, E ;
Kuang, Y .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2001, 2 (01) :35-74
[3]   Modeling and analysis of a marine bacteriophage infection [J].
Beretta, E ;
Kuang, Y .
MATHEMATICAL BIOSCIENCES, 1998, 149 (01) :57-76
[4]   Geometric stability switch criteria in delay differential systems with delay dependent parameters [J].
Beretta, E ;
Kuang, Y .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2002, 33 (05) :1144-1165
[5]  
BHATTACHARYA DK, 2003, J APPL MATH COMPUT, V13, P301
[6]   An improved integrated pest management model under 2-control parameters (sterile male and pesticide) [J].
Bhattacharyya, S. ;
Bhattacharya, D. K. .
MATHEMATICAL BIOSCIENCES, 2007, 209 (01) :256-281
[7]   Pest control through viral disease: Mathematical modeling and analysis [J].
Bhattacharyya, S ;
Bhattacharya, DK .
JOURNAL OF THEORETICAL BIOLOGY, 2006, 238 (01) :177-197
[8]   A new approach to pest management problem [J].
Bhattacharyya, S ;
Bhattacharya, DK .
JOURNAL OF BIOLOGICAL SYSTEMS, 2005, 13 (02) :117-130
[9]  
Birkhoff G., 1982, Ordinary Differential Equations
[10]  
Briese D. T., 1981, Pathogenesis of invertebrate microbial diseases., P511
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