کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154415 1462579 2019 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamic stability of an SIQS epidemic network and its optimal control
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Dynamic stability of an SIQS epidemic network and its optimal control
چکیده انگلیسی
In order to better understand and utilize the quarantine control when encountering outbreaks of infectious diseases, this paper introduces a nonlinear SIQS epidemic model on complex networks. By using complex network theory and Lyapunov function method, we obtain its basic reproduction number and global stability of both disease-free equilibrium and endemic equilibrium. Moreover, we investigate the optimal quarantine control problem for reducing control cost. By applying the optimal control theory, we obtain existence and uniqueness of the optimal control and the model's optimal solution. These results are verified by some numerical examples, and the influence of network structure on the optimal control is also studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 66, January 2019, Pages 84-95
نویسندگان
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