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A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING 被引量:5

A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY AND IMPULSIVE CONTROLLING
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摘要 This paper formulates a robust stage-structured SI eco-epidemiological model with periodic constant pulse releasing of infectious pests with pathogens. The authors show that the conditions for global attractivity of the 'pest-eradication' periodic solution and permanence of the system depend on time delay, hence, the authors call it "profitless". Further, the authors present a pest management strategy in which the pest population is kept under the economic threshold level (ETL) when the pest population is uniformly persistent. By numerical analysis, the authors also show that constant maturation time delay for the susceptible pests and pulse releasing of the infectious pests can bring obvious effects on the dynamics of system.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2008年第3期427-440,共14页 系统科学与复杂性学报(英文版)
基金 the National Natural Science Foundation of China under Grant No.10471117,10771179 the Natural Science and Development Foundation of Shandong University of Science and Technology under Grant No.05g016
关键词 Impulsive effects maturation time delay PERMANENCE pest management stage-structured SI infectious disease model 时间延迟 瞬间控制 有害物质管理 分级传染病模型 生态-流行病学模型
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参考文献25

  • 1V. M. Stern, Economic thresholds, Ann. Rev. Entomol, 1973, 18(1): 259-280.
  • 2J. van Lenteren, Integrated pest management in protected crops, in Integrated Pest Management (ed. by D. Dent), Chapman & Hall, London, 1995.
  • 3J. van Lenteren and J. Woets, Biological and integrated pest control in greenhouses, Ann. Rev. Ent., 1998, 33(1): 239-250.
  • 4J. Lu and G. Chen, A new chaotic attractor coined, International Journal of Bifurcation and Chaos, 2002, 12(3): 659-661.
  • 5J. Lu, G. Chen, D. Cheng, and S. Celikovsky, Bridge the gap between the Lorenz system and the Chen system, International Journal of Bifurcation and Chaos, 2002, 12(12): 2917-2926.
  • 6L. Falcon, Use of bacteria for microbial control of insetts, Microbial control of Insects and Mites (ed. by H. D. Burges and N. W. Hussey), Academic Press, New York, 1971.
  • 7H. Burges and N. Hussey, Microbial Control of Insects and Mites, Academic Press, New York, 1971.
  • 8Y. Tanada, Epizootiology of insect diseases, Biological Control of Insect Pests and Weeds (ed. by P. DeBach), Chapman & Hall, London, 1964.
  • 9L. Falcon, Problems associated with the use of arthropod viruses in pest control, Annu. Rev. Entomol., 1976, 21(2): 305-324.
  • 10R. Anderson and R. May, Regulation and stability of host-parasite population interactions, I. Regulatory processes, J. Anita. Ecol., 1978, 47(1): 219-247.

同被引文献30

  • 1AIELLO W G, FREEDMAN H I. A time delay model of single-species growth with stage structure[J]. Math. Biosci, 1990, 101(2) :139-153.
  • 2MENG X Z,JIAO J J,CHEN L S. The dynamics of an age predator prey model with disturbing pulse and time delays[J]. Nonlinear Analysis : Real World Applications, 2008,9 (2) : 547-561.
  • 3NIETO J,RODRIGUEZ LOPEZ R. Periodic boundary value problems for non-Lipschitzian impulsive functional differential equations[J]. Journal of Mathematical Analysis and Applications, 2006,318(2) :593-610.
  • 4DONG I. Z,CHEN L S,SUN L H. Extinction and permanence of the predator prey system with stocking of prey and harvesting of predator impulsively[J]. Mathematical Methods in the Applied Sciences,2006,29(4) :415-425.
  • 5GOPALSAMY K. Stability and oscillations in delay deferential equations of population dynamics[M]. Dordrecht: Kluwer Academic Publishers, 1992.
  • 6TENG Z. Persistence and stability in general nonautonomous single species Kolmogorov systems with delays[J]. Nonli near Analysis:Real World Applications,2007(8):230- 248.
  • 7SONG X Y, CHEN L S. Modelling and analysis of a single species system with stage structure and harvesting[J]. Mathematical and Computer Modelling, 2002,36 : 67-82.
  • 8S A Gourley,Y Kuang. A Stage Structured Predator-prey Model and Its Dependence on Through-stage Delay and Death Rate[ J ]. J Math Biol,200g ,49 : 188-200.
  • 9Meng X, Jiao J, Chen L. Nonlinear Analysis:The Dynamics of an Age Predator-prey Model with Disturbing Pulse and Time Delays [J]. Real World Applications,2008,9 ( 2 ) :547-561.
  • 10Nieto J J, Rodriguez-Lopez R. Periodic Boundary Value Problems for Non-Lipschitzian Impulsive Functional Differential Equations [ J ]. J Math Anal Appl, 2006,31 ( 8 ) :593-610.

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