کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636665 | 1340726 | 2006 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A pest management SI model with periodic biological and chemical control concern A pest management SI model with periodic biological and chemical control concern](/preview/png/4636665.png)
In this work, we consider an SI model for pest management, with concerns about impulsive releases of infective pests and pesticides sprays. We prove that all solutions ofequation(I)S′(t)=rS(t)1-S(t)+θI(t)K-βS(t)I2(t),t≠nτ,I′(t)=βS(t)I2(t)-wI(t),t≠nτ,ΔS(t)=-μ1S(t),t=nτ,ΔI(t)=-μ2I(t)+μ,t=nτ,n=1,2,…,are uniformly ultimately bounded and there exists globally asymptotic stability periodic solution of pest-extinction when ln11-μ1>rτ-rμθ(1-exp(-wτ))Kw(1-(1-μ2)exp(-wτ))-βμ2(1-exp(-2wτ))2w(1-(1-μ2)exp(-wτ))2 is satisfied, and the condition for permanence of system (I) is also obtained. It is concluded that the approach of combining impulsive infective releasing with impulsive pesticide spraying provides reliable tactic basis for practical pest management.
Journal: Applied Mathematics and Computation - Volume 183, Issue 2, 15 December 2006, Pages 1018–1026