期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

脉冲控制的害虫综合防治模型及仿真 被引量：2

Impulse Control in Pest Management and Computer Simulation
在线阅读 下载PDF
导出
摘要 利用Floquet乘子理论、小振幅扰动技巧和比较定理研究一类定期脉冲释放病毒颗粒和自然天敌的害虫综合治理模型在脉冲控制策略下系统解的稳定性,给出了在脉冲控制下这类系统解的全局渐近稳定性及系统持续生存的充分条件.数值仿真验证了推理结果. The stability of a pest management viral infection syst em with impulsive releases of viral particles and natural enemies was researched by means of Floquet＇s theorem,small-amplitude perturbation skills and compar ison theorem.The sufficient conditions of globally asymptotic stability of pest-eradication periodic solution and the permanence of the system controlled by t hat controller were obtained.Finally the mathematical findings were illustrated by numerical simulations.
作者 岳宗敏 刘海峰 蔺小林
机构地区 陕西科技大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第2期183-190,共8页 Journal of Jilin University:Science Edition
基金 国家自然科学基金天元基金(批准号:A0524602) 陕西省教育厅专项科研基金(批准号:2010JK423) 陕西科技大学校内自选项目基金(批准号:ZX10-37)
关键词 脉冲 全局渐近稳定 一致持久 impulsive global stability uniform permanence
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Falcon L A.Use of Bacteria for Microbial Control of Insects[M].New York:Academic Press,1971.
  • 2Burges H D,Hussey N W.Microbial Control of Insects and Mites[M].New York:Academic Press,1971:67-95.
  • 3Falcon L A.Problems Associated with the Use of Arthropod Viruses in Pest Control[J].Annu Rev Entomol,1976,21:305-324.
  • 4Bailey N T J.The Mathematical Theory of Infectious Diseases and Its Applications[M].London:Griffin,1975:413.
  • 5Burges H D,Hussey N W.Microbial Control of Insections and Mites[M].New York:Academic Press,1971:861.
  • 6赵丽萍,李自珍,王文婷,马智慧.一类疾病垂直感染的生态-流行病模型的动力学研究[J].兰州大学学报（自然科学版）,2009,45(4):127-132. 被引量：11
  • 7Pal A K,Samanta G P.Stability Analysis of an Eco-epidemiological Model Incorporating a Prey Refuge[J].NonlinearAnalysis:Modelling and Control,2010,15(4):473-491.
  • 8孟新柱,陈兰荪,宋治涛.一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为[J].应用数学和力学,2007,28(9):1123-1134. 被引量：28
  • 9李玉新,赵文才.基于脉冲控制的害虫管理数学模型研究[J].数学的实践与认识,2010,40(4):141-148. 被引量：3
  • 10Ghosh S,Bhattacharyya S,Bhattacharya D K.The Role of Viral Infection in Pest Control[J].Bulletin of MathematicalBiolog,2007,69:2649-2691.

二级参考文献53

  • 1孙树林,原存德.捕食者具有流行病的捕食-被捕食(SI)模型的分析[J].生物数学学报,2006,21(1):97-104. 被引量：51
  • 2KERMACK W O, MCKENDRICK A G. Contributions to the mathematical theory of epidemics-Ⅰ[J]. Proc Roy Soc, 1927, A115(772): 700-721.
  • 3KERMACK W O, MCKENDRICK A G. Contributions to the mathematical theory of epidemics- Ⅱ [J]. Proc Roy Soc, 1932, A138(834): 55-83.
  • 4HAMER W H. Epidemic disease in England[J]. Lancets 1906,167(4307): 733-739.
  • 5Ross R. The prevention of Malaria[M]. 2 nd ed. London: Marray, 1911.
  • 6GANI J, YAKOWITZ S, BLOUNT M. The spread and quarantine of HIV infection in a prison system[J]. SIAM J Appl Math, 1997, 57(6): 1 510-1 530.
  • 7HETHCOTE H W, MA Z, LIAO S B. Effects of quarantine in six endemic models for infectious diseases[J]. Mathematical Biosciences, 2002,180(1-2): 141-160.
  • 8VENTURINO E. The influence of diseases on Lotka- Volterra system[J]. Rockymount J Math, 1994, 24(1): 389-402.
  • 9XIAO Yan-ni, CHEN Lan-sun. A ratio-dependent predator-prey model with disease in the prey[J]. Applied Mathematics and Computation, 2002, 131(2-3): 397-414.
  • 10CHATTOPADHYAY J, ARINO O. A predator-prey model with disease in the prey[J]. Nonlinear Anal, 1999, 36(6): 747-766.

共引文献38

同被引文献27

  • 1张泽薇,谭佳.基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J].新疆大学学报（自然科学版）,2007,24(3):289-293. 被引量：1
  • 2孟新柱,陈兰荪,宋治涛.一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为[J].应用数学和力学,2007,28(9):1123-1134. 被引量：28
  • 3Holling C S.The functional response of predators to prey density and its role in mimicry and population regulation[J] .Memoirs of the Entomological Society of Canada,1965,46:1-60.
  • 4Maynard-Smith J.Models in ecology[M] .Cambridge:Cambridge University Press,1978:30-33.
  • 5Hsu S B,Huang W.Global stability for a class of predator-prey systems[J] .SIAM Journal on Applied Mathematics,1995,55(3):763-783.
  • 6Meng X Z,Li Z Q,Nieto J J.Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment[J] .Journal of Mathematical Chemistry,2010,47(1):123-144.
  • 7Zhang T Q,Meng X Z,Song Y,et al.Dynamical analysis of delayed plant disease models with continuous or impulsive cultural control strategies[C] //Abstract and Applied Analysis.New York:Hindawi Publishing Corporation,2012:ID 428453.
  • 8Tang S Y,Xiao Y N,Chen L S,et al.Integrated pest management models and their dynamical behaviour[J] .Bulletin of Mathematical Biology,2005,67 (1):115-135.
  • 9Nie L F,Teng Z D,Hu L,et al.Qualitative analysis of a modified Leslie-Gower and Holling-type Ⅱ predator-prey model with state dependent impulsive effects[J] .Nonlinear Analysis:Real World Applications,2010,11 (3):1364-1373.
  • 10Zhao L C,Chen L S,Zhang Q L.The geometrical analysis of a predator-prey model with two state impulses[J] .Mathematical Biosciences,2012,238(2):55-64.

引证文献2

二级引证文献4

吉林大学学报（理学版）
2012年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部