کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1704698 1012413 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation analysis on a diffusive Holling–Tanner predator–prey model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Bifurcation analysis on a diffusive Holling–Tanner predator–prey model
چکیده انگلیسی

This paper is concerned with a diffusive Holling–Tanner predator–prey model subject to homogeneous Neumann boundary condition. By choosing the ratio of intrinsic growth rates of predator to prey λ as the bifurcation parameter, we find that spatially homogeneous and non-homogeneous Hopf bifurcation occur at the positive constant steady state as λ varies. The steady state bifurcation of simple and double eigenvalues are intensively investigated. The techniques of space decomposition and the implicit function theorem are adopted to deal with the case of double eigenvalues. Our results show that this model can exhibit spatially non-homogeneous periodic and stationary patterns induced by the parameter λ. Numerical simulations are presented to illustrate our theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 37, Issue 6, 15 March 2013, Pages 4371–4384
نویسندگان
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