A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination
المؤلفون المشاركون
Tilahun, Getachew Teshome
Woldegerima, Woldegebriel Assefa
Muhammad, Nasr al-Din
المصدر
Arab Journal of Basic and Applied Sciences
العدد
المجلد 28، العدد 1 (31 ديسمبر/كانون الأول 2021)، ص ص. 87-106، 20ص.
الناشر
تاريخ النشر
2021-12-31
دولة النشر
البحرين
عدد الصفحات
20
التخصصات الرئيسية
الملخص EN
In this study, we proposed a fractional order model of hepatitis B virus transmission dynamics with two-age structure under vaccination.
A qualitative analysis of the model is performed.
Basic reproduction number of the model is determined.
Local stability conditions of disease-free equilibrium point are proven by using fractional Ruth-Hurwitz conditions.
Global stability conditions of both disease-free and endemic equilibrium points are shown by constructing appropriate Lyapunov functions.
Sensitivity analysis was done by using normalized forward sensitivity index approach.
Numerical simulation is performed to investigate the effect of memory on hepatitis B disease dynamics by varying order of derivatives and to simulate the effects of vaccinating newborns immediately after birth, vaccinating children and adult vaccination.
Then, we compared their effects on hepatitis B disease dynamics in the sense of control and elimination.
It is observed that the number of infective individuals decreases faster and even falls to zero over a long run for the model with memory than memory-less model.
Comparing results between vaccination of different ages show that increasing newborn vaccination immediately after birth has the highest effect on hepatitis B disease control.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Tilahun, Getachew Teshome& Woldegerima, Woldegebriel Assefa& Muhammad, Nasr al-Din. 2021. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Tilahun, Getachew Teshome…[et al.]. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Tilahun, Getachew Teshome& Woldegerima, Woldegebriel Assefa& Muhammad, Nasr al-Din. A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.87-106.
https://search.emarefa.net/detail/BIM-1340614
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references : p. 104-106
رقم السجل
BIM-1340614
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