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Optimal Control Analysis of Pneumonia and Meningitis Coinfection
المؤلف
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-09-22
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص EN
In this paper, we proposed a deterministic model of pneumonia-meningitis coinfection.
We used a system of seven ordinary differential equations.
Firstly, the qualitative behaviours of the model such as positivity of the solution, existence of the solution, the equilibrium points, basic reproduction number, analysis of equilibrium points, and sensitivity analysis are studied.
The disease-free equilibrium is locally asymptotically stable if the basic reproduction number is kept less than unity, and conditions for global stability are established.
Then, the basic model is extended to optimal control by incorporating four control interventions, such as prevention of pneumonia as well as meningitis and also treatment of pneumonia and meningitis diseases.
The optimality system is obtained by using Pontryagin’s maximum principle.
For simulation of the optimality system, we proposed five strategies to check the effect of the controls.
First, we consider prevention only for both diseases, and the result shows that applying prevention control has a great impact in bringing down the expansion of pneumonia, meningitis, and their coinfection in the specified period of time.
The other strategies are prevention effort for pneumonia and treatment effort for meningitis, prevention effort for meningitis and treatment effort for pneumonia, treatment effort for both diseases, and using all interventions.
We obtained that each of the listed strategies is effective in minimizing the expansion of pneumonia-only, meningitis-only, and coinfectious population in the specified period of time.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Tilahun, Getachew Teshome. 2019. Optimal Control Analysis of Pneumonia and Meningitis Coinfection. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1130500
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Tilahun, Getachew Teshome. Optimal Control Analysis of Pneumonia and Meningitis Coinfection. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1130500
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Tilahun, Getachew Teshome. Optimal Control Analysis of Pneumonia and Meningitis Coinfection. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1130500
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1130500
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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