کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9662279 | 698771 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global stability and periodicity on SIS epidemic models with backward bifurcation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global stability and periodicity on SIS epidemic models with backward bifurcation Global stability and periodicity on SIS epidemic models with backward bifurcation](/preview/png/9662279.png)
چکیده انگلیسی
In this paper we study SIS epidemic models with the vaccine efficacy and waning. First, continuous vaccination to both newborns and susceptible individuals is considered. In this case, a backward bifurcation leading to bistability possibly occurs, and global dynamics are shown by compound matrices and geometric approaches. Second, we consider the impulsive vaccination to susceptible individuals, which is more realistic. The global stability of positive periodic infection-free solution is proved, further, by bifurcation theory; we obtain a supercritical bifurcation at the threshold for the period of pulsing. Lastly, we change constant incidence rate to a general periodic contact rate due to seasonal variation; besides the global stability of disease-free equilibrium, we also show the existence of positive periodic solution with the help of the continuation theorem based on coincidence degree.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 50, Issues 8â9, OctoberâNovember 2005, Pages 1271-1290
Journal: Computers & Mathematics with Applications - Volume 50, Issues 8â9, OctoberâNovember 2005, Pages 1271-1290
نویسندگان
Jing Hui, Deming Zhu,