کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10345022 698146 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods
چکیده انگلیسی
In this contribution, a novel inverse problem on an SIS epidemic reaction-diffusion model is investigated by employing the optimal control methods. By setting a proper regular cost functional and choosing the coefficients to be identified as control variables, we embed the original inverse problem which is very difficult to solve into an optimal control problem. The existence of the optimal controls and the first order necessary optimality condition satisfied by the optimal controls are established, respectively. In particular, the local uniqueness and stability of the identification of the coefficients are proved by using analytical techniques.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 5, September 2015, Pages 805-819
نویسندگان
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