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Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures
المؤلفون المشاركون
Nyabadza, Farai
Asamoah, Joshua Kiddy K.
Chand, Mehar
Dutta, Hemen
Seidu, Baba
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-21، 21ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-03-27
دولة النشر
مصر
عدد الصفحات
21
التخصصات الرئيسية
الملخص EN
Vaccination and treatment are the most effective ways of controlling the transmission of most infectious diseases.
While vaccination helps susceptible individuals to build either a long-term immunity or short-term immunity, treatment reduces the number of disease-induced deaths and the number of infectious individuals in a community/nation.
In this paper, a nonlinear deterministic model with time-dependent controls has been proposed to describe the dynamics of bacterial meningitis in a population.
The model is shown to exhibit a unique globally asymptotically stable disease-free equilibrium E0, when the effective reproduction number RVT≤1, and a globally asymptotically stable endemic equilibrium E1, when RVT>1; and it exhibits a transcritical bifurcation at RVT=1.
Carriers have been shown (by Tornado plot) to have a higher chance of spreading the infection than those with clinical symptoms who will sometimes be bound to bed during the acute phase of the infection.
In order to find the best strategy for minimizing the number of carriers and ill individuals and the cost of control implementation, an optimal control problem is set up by defining a Lagrangian function L to be minimized subject to the proposed model.
Numerical simulation of the optimal problem demonstrates that the best strategy to control bacterial meningitis is to combine vaccination with other interventions (such as treatment and public health education).
Additionally, this research suggests that stakeholders should press hard for the production of existing/new vaccines and antibiotics and their disbursement to areas that are most affected by bacterial meningitis, especially Sub-Saharan Africa; furthermore, individuals who live in communities where the environment is relatively warm (hot/moisture) are advised to go for vaccination against bacterial meningitis.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Asamoah, Joshua Kiddy K.& Nyabadza, Farai& Seidu, Baba& Chand, Mehar& Dutta, Hemen. 2018. Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1131872
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Asamoah, Joshua Kiddy K.…[et al.]. Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1131872
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Asamoah, Joshua Kiddy K.& Nyabadza, Farai& Seidu, Baba& Chand, Mehar& Dutta, Hemen. Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1131872
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1131872
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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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
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