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

基于脉冲控制的害虫管理数学模型研究 被引量：3

Dynamic Analysis of a Pest Management Mathematical Model with Impulsive Control
原文传递
导出
摘要 研究一类害虫管理SI传染病模型,考虑脉冲投放病虫和人工捕杀相结合,得到系统的灭绝周期解,给出此周期解的全局吸引性,并获得了系统一致持续生存的条件.给出了害虫管理综合防治策略. In this work, we consider an SI epidemic disease model for pest management, and concern about pulse releasing infective pest and killing pest by hands. The ＇susceptible pest- exterminate＇ periodic solution is obtained, and the global attractivity of the ＇susceptible pest- exterminate＇ periodic solution is given. Furthermore, the sufficient condition for＇permanence of the system is obtained. The integrated control strategies for pest management are given.
作者 李玉新 赵文才
机构地区 莱芜职业技术学院计算机系 山东科技大学理学院
出处 《数学的实践与认识》 CSCD 北大核心 2010年第4期141-148,共8页 Mathematics in Practice and Theory
基金 山东省软科学研究计划项目(2009RKB153) 青岛市科技发展计划项目(KZJ-46) 山东科技大学"群星计划"项目(qx0801030)
关键词 脉冲 害虫灭绝 全局吸引性 持久性 impulsive pest-exterminate global attractivity permanence
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献12

  • 1MENG Xinzhu, CHEN Lansun. Global dynamical behaviors for an SIR epidemic model with time delay and pulse vaccination [J]. Taiwan Residents Journal of Mathematics, 2008, 12(5): 1107-1122.
  • 2MENG Xinzhu, CHEN Lausun. The dynamics of a new SIR epidemic model concerning pulse vaccination strategy[J]. Applied Mathematics and Computation, 2008, 197(2): 582-597.
  • 3D'ONOFRIO Alberto. Stability properties of pulse vaccination strategy in SEIR epidemic model[J]. Mathematical Biosciences, 2002, 179(1): 57-72.
  • 4STEVO Stevic. On a discrete epidemic model[J]. Discrete Dynamics in Nature and Society, vol.2007, Article ID 87519, 10 pages, 2007. doi: 10. 1155/2007/87519.
  • 5JIAO Jianjun, LONG Wen, CHEN Lansun. A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin[J]. Nonlinear Analysis: Real World Applications, 2009, 10: 3073-3081.
  • 6JIAO Jianjun, MENG Xinzhu, CHEN Lansun. Global attractivity and permanence of a stage- structured pest management SI model with time delay and diseased pest impulsive transmission[J]. Chaos, Solitons & Fractals, 2008, 38: 658-668.
  • 7JIAO Jianjun, CHEN Lansun, LUO Guilie. An appropriate pest management SI model with biological and chemical control concern[J]. Applied Mathematics and Computation, 2008, 196: 285-293.
  • 8靳祯,马知恩.具有连续和脉冲预防接种的SIRS传染病模型[J].华北工学院学报,2003,24(4):235-243. 被引量：47
  • 9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
  • 10魏巍,刘少平,舒云星.脉冲接种作用下具有垂直传染的SIR模型的定性分析[J].大学数学,2008,24(3):84-87. 被引量：11

二级参考文献94

  • 1布鲁克史密斯 皮特著 马永波译.未来的灾难: 瘟疫复活与人类生存之战[M].海口: 海南出版社,1999..
  • 2布鲁克史密斯·皮特著 马永波译.未来的灾难:瘟疫复活与人类生存之战[M].海口:海南出版社,1999..
  • 3Lajmanovich A, Yorke J A.A deterministic model for gonorrhea in a nonhomogeneous population [J]. Math.Biosci. , 1976, 28: 221--236.
  • 4Hethcote H W, Van Ark J W.Epidemiological models with heterogeneous populations:.Proportionate mixing, parameter estimation and immunization programs[J].Math. Biosci. , 1987, 84: 85--118.
  • 5Roberts M G, Kao R R.The dynamics of an infectious disease in a population with birth pules[J].Mathematical Biosciences, 1998, 149: 23--36.
  • 6Shulgin B, Stone L, Agur Z. Pulse vaccination strategy in the SIR epidemic model[J]. Bulletin of Mathematical Biology, 1998, 60: 1123--1148.
  • 7Stone L, Shulgin B, Agur Z. Theoretical examination of the pulse vaccination policy in the SIR epidemic model[J].Math. Computer Modeling, 2000, 31: 207--215.
  • 8Busenberg S, Van Driessehe P. Analysis of adisease transimission model in a population with varying size[J]. J.Math. Biol. , 1990, 28: 257--270.
  • 9Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. World Scientific,1989.
  • 10Drumi Bainov, Pavel Simeonov. Impulsive Differential Equations: Periodic Solutions and Applications[M]. Longman Seientificand Technical, 1993.

共引文献102

同被引文献21

  • 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
  • 2Falcon L A.Use of Bacteria for Microbial Control of Insects[M].New York:Academic Press,1971.
  • 3Burges H D,Hussey N W.Microbial Control of Insects and Mites[M].New York:Academic Press,1971:67-95.
  • 4Falcon L A.Problems Associated with the Use of Arthropod Viruses in Pest Control[J].Annu Rev Entomol,1976,21:305-324.
  • 5Bailey N T J.The Mathematical Theory of Infectious Diseases and Its Applications[M].London:Griffin,1975:413.
  • 6Burges H D,Hussey N W.Microbial Control of Insections and Mites[M].New York:Academic Press,1971:861.
  • 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.
  • 8Ghosh S,Bhattacharyya S,Bhattacharya D K.The Role of Viral Infection in Pest Control[J].Bulletin of MathematicalBiolog,2007,69:2649-2691.
  • 9Lakshmikanthan V,Bainov D D.Theory of Impulsive Differential Equations[M].Singapore:World Scientific,1989:23.
  • 10Bainov D,Simeonov P S.Impulsive Differential Equations:Periodic Solutions and Applications[M].New York:Longman Publishing Group,1993:66.

引证文献3

二级引证文献2

数学的实践与认识
2010年 第4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