کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839074 908384 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and Hopf bifurcation in a predator–prey model with stage structure for the predator
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Stability and Hopf bifurcation in a predator–prey model with stage structure for the predator
چکیده انگلیسی

A predator–prey system with stage structure for the predator and time delay due to the gestation of the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of a positive equilibrium and two boundary equilibria of the system is discussed, respectively. Further, the existence of a Hopf bifurcation at the positive equilibrium is also studied. By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and one of the boundary equilibria of the proposed system. As a result, the threshold is obtained for the permanence and extinction of the system. Numerical simulations are carried out to illustrate the main results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 9, Issue 4, September 2008, Pages 1444–1460
نویسندگان
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