کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844420 | 908589 | 2007 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamics for a type of general reaction–diffusion model
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we discuss the following reaction–diffusion model which is a general form of many population models equation(∗)∂u(t,x)∂t=△u(t,x)−δu(t,x)+f(u(t−τ,x)). We study the oscillatory behavior of solutions about the positive equilibrium KK of system (∗) with Neumann boundary conditions. Sufficient and necessary conditions are obtained for global attractivity of the zero solution and acceptable conditions are established for the global attractivity of KK. These results improve and complement existing results for system (∗) without diffusion. Moreover, when these results are applied to the diffusive Nicholson’s blowflies model and the diffusive model of Hematopoiesis, some new results are obtained for the latter.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 9, 1 November 2007, Pages 2699–2711
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 9, 1 November 2007, Pages 2699–2711
نویسندگان
Xiao Wang, Zhixiang Li,