کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641658 1341316 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and stability of periodic solution of a Lotka–Volterra predator–prey model with state dependent impulsive effects
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence and stability of periodic solution of a Lotka–Volterra predator–prey model with state dependent impulsive effects
چکیده انگلیسی

According to biological and chemical control strategy for pest, we investigate the dynamic behavior of a Lotka–Volterra predator–prey state-dependent impulsive system by releasing natural enemies and spraying pesticide at different thresholds. By using Poincaré map and the properties of the Lambert WW function, we prove that the sufficient conditions for the existence and stability of semi-trivial solution and positive periodic solution. Numerical simulations are carried out to illustrate the feasibility of our main results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 224, Issue 2, 15 February 2009, Pages 544–555
نویسندگان
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