کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628664 | 1631832 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An analysis of transmission dynamics of drug-resistant disease on scale-free networks
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we present an SIR drug-resistant model on scale-free networks. The model has a disease-free equilibrium, which is globally asymptotically stable when a threshold quantity is less than one. The model has a wild strain equilibrium and a resistant strain equilibrium, which are asymptotically stable when their respective reproduction number is great than one. When treatment leads to resistance development, the model can have a unique coexistence equilibrium, and we also prove the persistence of infection. The effects of two immunization schemes, including proportional immunization scheme and targeted immunization scheme, are studied and compared. We find that targeted strategy compare favorably to a proportional immunization has prominent effect to control the disease spread on scale-free networks.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 222, 1 October 2013, Pages 177-189
Journal: Applied Mathematics and Computation - Volume 222, 1 October 2013, Pages 177-189
نویسندگان
Maoxing Liu, Guiquan Sun, Zhen Jin, Tao Zhou,