Full-Text Search：
《Journal of Biomathematics》 2007-03

## A Pest Management SI Model with Impulsive Control Concerned

JIAO Jian-jun~(1,2) CHEN Lan-sun~1 (1 Department of Applied Mathematics,Dalian University of Technology,Dalian Liaoning 116024 China) (2 School of Mathematics and Statistics,Guizhou College of Finance and Economics,Guiyang Guizhou 550004 China)
In this work,we consider an SI model for pest management,and con- cerning about impulsive releasing infective pests and spraying pesticides.We prove that all solutions of (2.2) are uniformly ultimately bounded and there exists glob- ally asymptotic stability periodic solution of pest-extinction when ln 1/(1-μ_1)rτ- (rμθ(1-exp(-wτ)))/(Kw(1-(1-μ_2)exp(-wτ)))-(βμ~3(1-exp(-3wτ)))/(3w(1-(1-μ_2)exp(-wτ))~3) is satisfied,and the condi- tion for permanence of system(2.2) is also obtained.It is concluded that the approach of combining impulsive infective releasing with impulsive pesticides spraying provides reliable tactic basis for the practical pest management.
【Fund】： Supported by National Natural Science Foundation of China (10471117);; the Doctoral Fund of Guizhou College of Finance and Economic(in China)
【CateGory Index】： O193;O231
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
 【References】
 Chinese Journal Full-text Database 2 Hits
 1 LIU Qiong (Department of Mathematics and Computer Science,Qinzhou University,Qinzhou Guangxi 535000 China);Mathematical Model for the Pest Biological Prevention[J];Journal of Biomathematics;2009-02 2 FAN Xiao-ming~1 WANG Zhi-gang~1 PANG Shu-ping~2 (1 School of Mathematics Science,Harbin Normal University,Harbin Heilongjiang 150500 China;) (2 Foundation Department of Harbin Financial College,Harbin Heilongjiang 150030 China;);Existence of Positive Periodic Solution for Nonautonomous Mutispecies Ecological Competition-predator System with Impulsive Effect[J];Journal of Biomathematics;2009-03
 【Citations】
 Chinese Journal Full-text Database 1 Hits
 1 YANG Jian-ya ZHANG Feng-qin (Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi 044000 China);A SIR Epidemic Model with Vertical Transmission[J];Journal of Biomathematics;2006-03
 【Co-citations】
 Chinese Journal Full-text Database 5 Hits
 1 WANG Li-jun,SUI Xiao-hui,FENG Shou-sheng,SONG Yan (Department of Mathematics,Bohai University,Jinzhou 121013,China);Quantitative analysis of model SIR with vertical transmission and death of disease[J];Journal of Bohai University(Natural Science Edition);2009-02 2 DONG Hai-ling HOU Zhen-ting WANG Bing-chang (School of Mathematics,Central South University,Changsha Hunan 410075 China);A Class of Markov-Modulated Continuous Infectious Disease Model[J];Journal of Biomathematics;2008-01 3 FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying (College of ln formatian Science and Engineering Northeastern University,Shenyang Liaoning 110004 China);The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination[J];Journal of Biomathematics;2008-02 4 Ding Lingfen Li Jianli Department of Mathematics,Hunan Normal University,Changsha,Hunan 410081;A SEIR Epidemic Model with Vertical Transmission[J];Journal of Shaoxing University(Natural Science);2008-03 5 SUN You-fa1,GUO Xu-chong1,LIANG Xiao-xiao1,LIU Cai-yan1,ZHANG Cheng-ke2(1.School of Management,Guangdong University of Technology,Guangzhou 510520,China;2.School of Economic and Trade,Guangdong University of Technology,Guangzhou 510520,China);SIRS Epidemic Model under Real Complex Circumstances and Its Control Strategy[J];Journal of System Simulation;2010-01
 【Co-references】
 Chinese Journal Full-text Database 10 Hits
 1 YE Dan~(1,2),FAN Meng~1(1.Institute of Mathematics and Statistics,Northeast Normal University, Changchun 130024,China;2.The School of Information Science and Engineering,Northeast University,Shenyang 110004,China);Periodicity in predator-prey chain sytem of three species with impulse[J];Journal of Northeast Normal University (Natural Science Edition);2004-04 2 ZHANGShu-wen~(*1,2),CHENLan-sun~3 ( 1.Dept. of Appl. Math., Dalian Univ. of Technol., Dalian 116024, China; 2.Inst. of Biomath., Anshan Norm. Univ., Anshan 114005, China; 3.Inst. of Math., Chin. Acad. of Sci., Beijing 100080, China );Positive periodic solutions of nonautonomous predator-prey system with impulsive effect[J];Journal of Dalian University of Technology;2004-03 3 LIU Qiong(Department of Mathematics and Computer Science,Guangxi Qinzhou Teachers College,Qinzhou 535000,China);Persistence and periodic solution of mixed model with Holling Ⅲ functional response and stage-structure for prey[J];Journal of Guangxi University(Natural Science Edition);2005-01 4 Xiao Haibin Department of Mathematics, Ningbo University, Zhejiang 315211,China; Department of Mathematics, Nanjing University, Jiangsu 210093,China.;POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS'TYPE PREDATOR-PREY DYNAMICAL SYSTEM[J];高校应用数学学报B辑(英文版);2006-04 5 XIANG Zhong-yi(Department of Mathematics,Hubei Institute for Nationalities,Enshi 445000,China);Impulsive Vaccination of SIR Epidemic Models with Incidence Rates[J];Journal of Hubei Institute for Nationalities(Natural Science Edition);2006-01 6 CHENG Hui-dong,MENG Xin-zhu,ZHANG Wei-wei(College of Sciences,SUST,Qingdao,Shandong 266510,China);Globally Asymptotic Stability of Delayed Food Chain Systems with Beddington-Deangelis Type of Functional Response[J];Journal of Shandong University of Science and Technology(Natural Science);2007-03 7 JIA Jian-wen,AN Ying(School of Mathematics and Computer Science,Shanxi Normal University,Linfen Shanxi 041004,China);Periodic Solution of Nonautonomous Predator-prey System With Impulsive Effect[J];Mathematics in Practice and Theory;2007-20 8 Xu Rui (Department .of Mathematics, Mechanical Engineering College, Shijiazhuang 050003) Chen Lansun (Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy Sciences, Beijing 100080);PERSISTENCE AND GLOBAL STABILITY FOR THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS[J];Journal of Systems Science and Mathematical Sciences;2001-02 9 JIAO Jianjun ZHANG Wenzhuan (School of Mathematics and Statistics,Guizhou College of Finance & Economics,Guiyang 550004;Department of Applied Mathematics,Dalian University of Technology,Dalian 116024);A MUTUAL INTERFERENCE STAGE-STRUCTURED PREDATOR-PREY MODEL WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS[J];Journal of Systems Science and Mathematical Sciences;2008-07 10 TAN De-jun (Editorial Department of Journal, Anshan Normal University, Anshan Liaoning 114005 China);Existence of Positive Solution for Competition System with Diffusion and Time Delay and Functional Response and Impulsive Effect[J];Journal of Biomathematics;2005-04
Similar Journals
 > Contemporary Teacher Education > Chinese Journal of Ecology > Resources Inhabitant And Environment > Journal of Qufu Normal University(Natural Science) > Green Leaf > Applied Mathematics and Mechanics > Journal of Anyang Normal University > Journal of Nanjing Normal University(Natural Science Edition) > Mathematica Applicata > Journal of Inner Mongolia Forestry