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A Pest Management SI Model with Impulsive Control Concerned

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
3
DOI:
10.3969/j.issn.1001-9626.2007.03.001
Key Word:
脉冲;染病个体;化学控制;灭绝;Impulsive;Infective;Chemical control;Pest-extinction

Abstract: In this work, we consider an SI model for pest management, and concerning about impulsive releasing infective pests and spraying pesticides. We prove that all solutions of (2.2) are uniformly ultimately bounded and there exists globally asymptotic stability periodic solution of pest-extinction when ln1/1-μ1>rτ-rμθ(1 -exp(-wτ))/Kw(1 - (1 - μ2)exp(-wτ))-βμ3(1 -exp(-3wτ))/ 3w(1-(1-μ2)exp(-wτ))3 is satisfied, and the condition 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.

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