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Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment
المؤلفون المشاركون
Mbabazi, Fulgensia Kamugisha
Mugisha, Joseph Y. T.
Kimathi, Mark
المصدر
Journal of Applied Mathematics
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-12، 12ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-02-13
دولة النشر
مصر
عدد الصفحات
12
التخصصات الرئيسية
الملخص EN
Pneumocccal pneumonia, a secondary bacterial infection that follows influenza A infection, is responsible for morbidity and mortality in children, elderly, and immunocomprised groups.
A mathematical model to study the global stability of pneumococcal pneumonia with awareness and saturated treatment is presented.
The basic reproduction number, R0, is computed using the next generation matrix method.
The results show that if R0<1, the disease-free steady state is locally asymptotically stable; thus, pneumococcal pneumonia would be eradicated in the population.
On the other hand, if R0>1 the endemic steady state is globally attractive; thus, the disease would persist in the population.
The quadratic-linear and Goh–Voltera Lyapunov functionals approach are used to prove the global stabilities of the disease-free and endemic steady states, respectively.
The sensitivity analysis of R0 on model parameters shows that, it is positively sensitive to the maximal effective rate before antibiotic resistance awareness, rate of relapse encountered in administering treatment, and loss of information by aware susceptible individuals.
Contrarily, the sensitivity analysis of R0 on model parameters is negatively sensitive to recovery rate due to treatment and the rate at which unaware susceptible individuals become aware.
The numerical analysis of the model shows that awareness about antibiotic resistance and treatment plays a significant role in the control of pneumococcal pneumonia.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Mbabazi, Fulgensia Kamugisha& Mugisha, Joseph Y. T.& Kimathi, Mark. 2020. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Mbabazi, Fulgensia Kamugisha…[et al.]. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Mbabazi, Fulgensia Kamugisha& Mugisha, Joseph Y. T.& Kimathi, Mark. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1174510
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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