کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10426710 908383 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations in predator-prey systems with nonmonotonic functional response
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcations in predator-prey systems with nonmonotonic functional response
چکیده انگلیسی
We consider a predator-prey system with nonmonotonic functional response. The bifurcation analysis of the model shows that Hopf bifurcation can occur as the delay τ (taken as a parameter) crosses some critical values and the system has a Bogdanov-Takens singularity for any time delay value. Following the procedure of deriving normal form given by Faria and Magalhães, we compute the normal form for the Hopf bifurcation of the model, and study the stability of the bifurcating non-trivial periodic solutions. We also obtain a versal unfolding of the model at the Bogdanov-Takens singularity under certain conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 6, Issue 1, February 2005, Pages 187-205
نویسندگان
, ,