کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633389 | 1340669 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Staged-structured Lotka–Volterra predator–prey models for pest management
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, two predator–prey models with stage structure are constructed and investigated. In the first model, continuous biological control is taken. The existence and local stability of two equilibriums are studied. By the Liapunov stability theorem, we obtain the condition for the global asymptotical stability of the trivial equilibrium (i.e., pest-eradication equilibrium). In the second model, impulsive biological control is taken. By use of the Floquet’s theorem, small-amplitude perturbation method and comparison techniques, we get the condition which guarantees the global asymptotical stability of the pest-eradication periodic solution. The sufficient condition for the permanence of the impulsive system is also obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 203, Issue 1, 1 September 2008, Pages 258–265
Journal: Applied Mathematics and Computation - Volume 203, Issue 1, 1 September 2008, Pages 258–265
نویسندگان
Ruiqing Shi, Lansun Chen,