کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643413 1341380 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic solutions of a nonautonomous predator–prey system with stage structure and time delays
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Periodic solutions of a nonautonomous predator–prey system with stage structure and time delays
چکیده انگلیسی

A nonautonomous Lotka–Volterra type predator–prey model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators do not feed on prey and do not have the ability to reproduce. By some comparison arguments we first discuss the permanence of the model. By using the continuation theorem of coincidence degree theory, sufficient conditions are derived for the existence of positive periodic solutions to the model. By means of a suitable Lyapunov functional, sufficient conditions are obtained for the uniqueness and global stability of the positive periodic solutions to the model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 196, Issue 1, 1 November 2006, Pages 70–86
نویسندگان
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