کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638381 1631998 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of patterns and of constant steady states for a cross-diffusion system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stability of patterns and of constant steady states for a cross-diffusion system
چکیده انگلیسی

This paper considers mathematical and numerical models of normal and abnormal tissue growth. To this aim, we analyse a nonlinear system of partial differential equations, called as cross-diffusion system, in a rather general form. We investigate the dynamics of the system in dependence on the system parameters. We show analytically the existence of a periodic stationary solution for the set of certain positive initial data. The other choices of the parameters are investigated by construction of corresponding numerical models. We also analyse the stability of the stationary solutions. Numerical examples demonstrate our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 293, February 2016, Pages 208–216
نویسندگان
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