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Mathematical Modelling of the Transmission Dynamics of Contagious Bovine Pleuropneumonia with Vaccination and Antibiotic Treatment
المؤلفون المشاركون
Munganga, J. M. W.
Aligaz, Achamyelesh Amare
المصدر
Journal of Applied Mathematics
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-02-03
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
In this paper we present a mathematical model for the transmission dynamics of Contagious Bovine Pleuropneumonia (CBPP) by considering antibiotic treatment and vaccination.
The model is comprised of susceptible, vaccinated, exposed, infectious, persistently infected, and recovered compartments.
We analyse the model by deriving a formula for the control reproduction number Rc and prove that, for Rc<1, the disease free equilibrium is globally asymptotically stable; thus CBPP dies out, whereas for Rc>1, the unique endemic equilibrium is globally asymptotically stable and hence the disease persists.
Thus, Rc=1 acts as a sharp threshold between the disease dying out or causing an epidemic.
As a result, the threshold of antibiotic treatment is αt⁎=0.1049.
Thus, without using vaccination, more than 85.45% of the infectious cattle should receive antibiotic treatment or the period of infection should be reduced to less than 8.15 days to control the disease.
Similarly, the threshold of vaccination is ρ⁎=0.0084.
Therefore, we have to vaccinate at least 80% of susceptible cattle in less than 49.5 days, to control the disease.
Using both vaccination and antibiotic treatment, the threshold value of vaccination depends on the rate of antibiotic treatment, αt, and is denoted by ραt.
Hence, if 50% of infectious cattle receive antibiotic treatment, then at least 50% of susceptible cattle should get vaccination in less than 73.8 days in order to control the disease.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Aligaz, Achamyelesh Amare& Munganga, J. M. W.. 2019. Mathematical Modelling of the Transmission Dynamics of Contagious Bovine Pleuropneumonia with Vaccination and Antibiotic Treatment. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1168843
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Aligaz, Achamyelesh Amare& Munganga, J. M. W.. Mathematical Modelling of the Transmission Dynamics of Contagious Bovine Pleuropneumonia with Vaccination and Antibiotic Treatment. Journal of Applied Mathematics No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1168843
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Aligaz, Achamyelesh Amare& Munganga, J. M. W.. Mathematical Modelling of the Transmission Dynamics of Contagious Bovine Pleuropneumonia with Vaccination and Antibiotic Treatment. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1168843
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1168843
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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