Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection
المؤلفون المشاركون
Luboobi, Livingstone
Lambura, Aristide G.
Mwanga, Gasper G.
Kuznetsov, Dmitry
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-08-01
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص EN
In this paper, we study the dynamics of soil-transmitted helminth infection.
We formulate and analyse a deterministic compartmental model using nonlinear differential equations.
The basic reproduction number is obtained and both disease-free and endemic equilibrium points are shown to be asymptotically stable under given threshold conditions.
The model may exhibit backward bifurcation for some parameter values, and the sensitivity indices of the basic reproduction number with respect to the parameters are determined.
We extend the model to include control measures for eradication of the infection from the community.
Pontryagian’s maximum principle is used to formulate the optimal control problem using three control strategies, namely, health education through provision of educational materials, educational messages to improve the awareness of the susceptible population, and treatment by mass drug administration that target the entire population(preschool- and school-aged children) and sanitation through provision of clean water and personal hygiene.
Numerical simulations were done using MATLAB and graphical results are displayed.
The cost effectiveness of the control measures were done using incremental cost-effective ratio, and results reveal that the combination of health education and sanitation is the best strategy to combat the helminth infection.
Therefore, in order to completely eradicate soil-transmitted helminths, we advise investment efforts on health education and sanitation controls.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Lambura, Aristide G.& Mwanga, Gasper G.& Luboobi, Livingstone& Kuznetsov, Dmitry. 2020. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Lambura, Aristide G.…[et al.]. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Lambura, Aristide G.& Mwanga, Gasper G.& Luboobi, Livingstone& Kuznetsov, Dmitry. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1139527
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