کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614575 | 1339294 | 2016 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Traveling waves for a diffusive SIR model with delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Traveling waves for a diffusive SIR model with delay Traveling waves for a diffusive SIR model with delay](/preview/png/4614575.png)
چکیده انگلیسی
In this paper, we study traveling waves connecting the infection-free equilibrium state and the endemic equilibrium state for a diffusive SIR model with delay and saturated incidence rate. Since this system does not enjoy the comparison principle, we will use an iteration process to construct a pair of upper and lower solutions. With the aid of the pair of upper and lower solutions, we can apply the Schauder fixed point theorem to construct a family of solutions of the truncated problems, which, via the limiting argument, can generate the traveling wave. Indeed, we show that there exists c⁎>0c⁎>0 such that this system admits a traveling wave solution with speed c iff c≥c⁎c≥c⁎.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 435, Issue 1, 1 March 2016, Pages 20–37
Journal: Journal of Mathematical Analysis and Applications - Volume 435, Issue 1, 1 March 2016, Pages 20–37
نویسندگان
Sheng-Chen Fu,