کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615628 | 1339323 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability of solutions to a mathematical model for necrotic tumor growth with time delays in proliferation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, a mathematical model for a solid avascular tumor growth is studied. The model describes tumor growth with a necrotic core and a time delay in proliferation process. The model was proposed by Byrne and Chaplain, and was studied by M. Bodnar and U. Foryś (see [2]). Sufficient conditions which guarantee existence, uniqueness and stability of steady state are given. The results show that the dynamical behavior of the solutions of the model is similar to that of the solutions for the corresponding non-retarded problem under some assumptions. Our results partially improve the corresponding results given by M. Bodnar and U. Foryś. The results make the research for this model more perfect.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 1, 1 January 2015, Pages 955–962
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 1, 1 January 2015, Pages 955–962
نویسندگان
Shihe Xu, Meng Bai,