کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640997 1341293 2009 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and bifurcation analysis on a ratio-dependent predator–prey model with time delay
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability and bifurcation analysis on a ratio-dependent predator–prey model with time delay
چکیده انگلیسی

A ratio-dependent predator–prey model with 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 a semi-trivial boundary equilibrium is discussed, respectively. Further, it is proved that the system undergoes a Hopf bifurcation at the positive equilibrium. Using the normal form theory and the center manifold reduction, explicit formulae are derived to determine the direction of bifurcations and the stability and other properties of bifurcating periodic solutions. By means of an iteration technique, sufficient conditions are obtained for the global attractiveness of the positive equilibrium. By comparison arguments, the global stability of the semi-trivial equilibrium is also addressed. Numerical simulations are carried out to illustrate the main results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 1, 1 August 2009, Pages 187–203
نویسندگان
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