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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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