کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838345 908358 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and Hopf bifurcation in a delayed predator–prey system with stage structure for prey
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Stability and Hopf bifurcation in a delayed predator–prey system with stage structure for prey
چکیده انگلیسی

We consider a predator–prey system of Lotka–Volterra type with time delays and stage structure for prey. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated and Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated. The mathematical tools which enable us to obtain the sufficient conditions, guaranteeing the global asymptotical stability of the equilibria, are the well-known Kamke comparison theorem and an iteration technique. Numerical simulations are carried out to illustrate our theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 4, August 2010, Pages 2757–2769
نویسندگان
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