[1]徐为坚,陈时东,庞国萍.基于喷洒杀虫剂及释放病虫的害虫综合管理模型（英文）[J].南京师范大学学报(自然科学版),2017,40(02):16.[doi:10.3969/j.issn.1001-4616.2017.02.004]
　Xu Weijian,Chen Shidong,Pang Guoping.Integrated Pest Management Model with SprayingPesticides and Releasing Infective Pests[J].Journal of Nanjing Normal University(Natural Science Edition),2017,40(02):16.[doi:10.3969/j.issn.1001-4616.2017.02.004]
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基于喷洒杀虫剂及释放病虫的害虫综合管理模型（英文）()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第40卷
期数:
2017年02期
页码:
16
栏目:
·数学·
出版日期:
2017-06-29

文章信息/Info

Title:
Integrated Pest Management Model with SprayingPesticides and Releasing Infective Pests
文章编号:
1001-4616(2017)02-0016-08
作者:
徐为坚1; 陈时东2; 庞国萍1
(1.玉林师范学院数学与统计学院,广西高校复杂系统优化与大数据处理重点实验室,广西 玉林 537000)(2.玉林师范学院电子与通信工程学院,广西 玉林 537000)
Author(s):
Xu Weijian1; Chen Shidong2; Pang Guoping1
(1.College of Mathematics and Statistics,Guangxi Universities Key Lab of Complex System Optimization andBig Data Processing,Yulin Normal University,Yulin 537000,China)(2.College of Electronic and Communication Engineering,Yulin Normal University,Yulin 537000,China)
关键词:
综合控制害虫模型; 脉冲控制; 全局稳定性; 释放病虫; 喷洒杀虫剂
Keywords:
integrated pest management model; impulsive control; global stability; releasing infective pests; spraying pesticides
分类号:
O175.12
DOI:
10.3969/j.issn.1001-4616.2017.02.004
文献标志码:
A
摘要:
研究了具有脉冲出生及脉冲控制的害虫综合管理动力系统.利用脉冲微分方程的Floquet理论及比较定理,给出了害虫灭绝周期解全局渐近稳定的条件,对系统持续生存情况进行了数值模拟.并讨论连续控制系统的动力学性质,得到了害虫灭绝及持续生存的条件、害虫灭绝的阈值.
Abstract:
In this paper,a dynamical system of integrated pest management with impulsive birth and impulsive control is investigated. Using the Floquet theorem of impulsive differential equations and the comparison theorem,we obtain the conditions of the globally asymptotical stability of susceptible-pest-eradication periodic solution,and formulate the persistence of the system by numerical simulations. We also discuss the dynamical behaviors of the continuous control system,and obtain the conditions of pest eradication and pest existence as well as the threshold of pest eradication.

参考文献/References:

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备注/Memo

备注/Memo:
Received data:2016-03-17.
Foundation item:Supported by the National Natural Science Foundation of China(11361068,11161052),the Natural Science Foundation of Guangxi(0991283).
Corresponding author:Xu Weijian,professor,majored in biomathematics. E-mail:wjxuch@sina.com
更新日期/Last Update: 2017-06-30