Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function
المؤلفون المشاركون
Rachik, Mostafa
Elhia, Mohamed
Boujallal, Lahoucine
Alkama, Meryem
Balatif, Omar
المصدر
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-12-30
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص EN
The purpose of this paper is modelling and controlling the spread of COVID-19 disease in Morocco.
A nonlinear mathematical model with two subclasses of infectious individuals is proposed.
The population is divided into five classes, namely, susceptible (S), exposed (E), undiagnosed infectious (Inc), diagnosed patients (Ic), and removed individuals.
To reflect the real dynamic of the COVID-19 transmission in Morocco, the real reported data are used for estimating model parameters.
Two controls representing screening effort and limited treatment are considered.
Based on viability theory and set-valued analysis, a Lyapunov function is constructed such that both exposed and infected populations are decreased to zero asymptotically.
The corresponding controls are derived via a continuous selection of adequately designed feedback map.
Numerical simulations are presented with three scenarios (cases when each control is used alone and the case when two controls are combined).
Our results show that when only one control is to be applied, screening is the most effective in decreasing the number of people in the three infected compartments, whereas combining both controls is found to be highly effective and leads to a significant improvement in the epidemiological situation of Morocco.
To the best of our knowledge, this work is the first one that applies the set-valued approach to a controlled COVID-19 model which agrees with the observed cases in Morocco.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Elhia, Mohamed& Boujallal, Lahoucine& Alkama, Meryem& Balatif, Omar& Rachik, Mostafa. 2020. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1145595
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Elhia, Mohamed…[et al.]. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1145595
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Elhia, Mohamed& Boujallal, Lahoucine& Alkama, Meryem& Balatif, Omar& Rachik, Mostafa. Set-Valued Control Approach Applied to a COVID-19 Model with Screening and Saturated Treatment Function. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1145595
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1145595
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر