کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631734 1340628 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The dynamics of pest control pollution model with age structure and time delay
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The dynamics of pest control pollution model with age structure and time delay
چکیده انگلیسی

In this paper, by using pollution model and impulsive delay differential equation, we investigate the dynamics of a pest control model with age structure for pest by introducing a constant periodic pesticide input and releasing natural enemies at different fixed moment. We assume only the pests are affected by pesticide. We show that there exists a global attractive pest-extinction periodic solution when the periodic natural enemies release amount μ1 and pesticide input amount μ2 are larger than some critical value. Further, the condition for the permanence of the system is also given. By numerical analyses, we also show that constant maturation time delay, pulse pesticide input and pulse releasing of the natural enemies can bring obvious effects on the dynamics of system. We believe that the results will provide reliable tactic basis for the practical pest management.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 10, 15 July 2010, Pages 2814–2823
نویسندگان
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