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《Journal of Biomathematics》 2007-03
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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
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【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
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【Citations】
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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】
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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
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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
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