کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775715 1631745 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation for a delayed predator-prey diffusion system with Dirichlet boundary condition
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hopf bifurcation for a delayed predator-prey diffusion system with Dirichlet boundary condition
چکیده انگلیسی
A delayed predator-prey diffusion system with Beddington-DeAngelis functional response under Dirichlet boundary condition is investigated. The existence and stability of the positive spatially nonhomogeneous steady-state solution are obtained via the implicit function theorem. Moreover, taking feedback time delay τ as the bifurcation parameter, Hopf bifurcation near the positive steady-state solution is proved to occur at a sequence of critical values, we can show that feedback time delay can induce nonhomogeneous periodic oscillatory patterns. The direction of Hopf bifurcation is forward when parameter m in model (1.2) is sufficiently large. Numerical simulations and numerical solutions are presented to illustrate our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 311, 15 October 2017, Pages 1-18
نویسندگان
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