|Table of Contents|

Study on a Non-autonomous Pest Management Modelwith Resistance Development(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年01期
Page:
30-
Research Field:
·数学·
Publishing date:

Info

Title:
Study on a Non-autonomous Pest Management Modelwith Resistance Development
Author(s):
Liu Li12Qu Ruowen3Kang Baolin1Liu Bing1
(1.College of Mathematics and Information Science,Anshan Normal University,Anshan 114007,China)(2.Department of Mathematics,Liaoning Normal University,Dalian 116029,China)(3.Anshan No.1 Middle School,Anshan 114000,China)
Keywords:
resistance to pesticidespesticide functionnon-autonomous pest management modelpest extinction
PACS:
O175.1
DOI:
10.3969/j.issn.1001-4616.2018.01.007
Abstract:
Considering the residual effect of pesticides on pest populations,the pest resistance to pesticides which developed by the long-term and single use of the same pesticide,the effects of the development of pest populations in the nature affected by the time and a periodic change about the human controlling for the pest,a non-autonomous single-species pest management model with resistance development under the influence of pesticide function is established. Further,the critical condition of pest extinction is given. According to the critical condition,the switching strategy of pesticides is obtained.

References:

[1] LU Z H,CHI X B,CHEN L S. Impulsive control strategies in biological control of pesticide[J]. Theoretical population biology,2003,64(1):39-47.
[2]LIU X N,CHEN L S. Complex dynamics of Holling type Ⅱ Lotka-Volterra predator-prey system with impulsive perturbations on the predator[J]. Chaos,solitons and fractals,2003,16(2):311-320.
[3]LIU B,ZHANG Y J,CHEN L S. Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy[J]. Int J Bifurcat Chaos,2005,15(2):517-531.
[4]LI C T,TANG S Y. The effects of pulse spraying and releasing periods dynamics of generalized predator-prey model[J]. International journal of biomathematics,2012,5(1):1250012.
[5]韩静光,刘兵,王洪娇. 具有抗性发展和轮换使用杀虫剂的综合害虫治理模型的动力学性质[J]. 信阳师范学院学报(自然科学版),2015,28(1):1-3.
[6]王定丽,刘兵,康宝林. 基于杀虫剂作用函数的一类生育脉冲害虫治理模型的研究[J]. 生物数学学报,2017,32(1):84-88.
[7]梁菊花. 基于综合害虫治理策略的混合模型研究[D]. 西安:陕西师范大学,2013.
[8]康宝林. 基于脉冲微分方程的害虫治理策略研究[D]. 大连:大连理工大学,2016.
[9]吴文. 周期环境和综合控制策略对害虫控制影响的研究[D]. 西安:陕西师范大学,2011.
[10]顾云开,刘兵,刘万波. 杀虫剂函数影响下非自治周期害虫综合治理模型的研究[J]. 信阳师范学院学报(自然科学版),2017,30(1):9-12.
[11]VANCE R R,CODDINGTON E A. A nonautonomous model of population growth[J]. Journal of mathematical biology,1989,2:340-367.

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Last Update: 2018-03-31