کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7376269 | 1480080 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we describe the dynamics of an SEIR epidemic model with saturated incidence, treatment function, and optimal control. Rigorous mathematical results have been established for the model. The stability analysis of the model is investigated and found that the model is locally asymptotically stable when R0<1. The model is locally as well as globally asymptotically stable at endemic equilibrium when R0>1. The proposed model may possess a backward bifurcation. The optimal control problem is designed and obtained their necessary results. Numerical results have been presented for justification of theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 493, 1 March 2018, Pages 210-227
Journal: Physica A: Statistical Mechanics and its Applications - Volume 493, 1 March 2018, Pages 210-227
نویسندگان
Muhammad Altaf Khan, Yasir Khan, Saeed Islam,