Yıl: 2020 Cilt: 10 Sayı: 3 Sayfa Aralığı: 1956 - 1965 Metin Dili: İngilizce DOI: 10.21597/jist.658471 İndeks Tarihi: 03-10-2022

Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components

Öz:
In this study, the classical epidemic model of Kermack and McKendrick is analyzed with beta distributed random components. A random analysis is done for the deterministic epidemic model by transforming the parameters and initial values of the system to random variables with beta distribution. The approximations for the expectations of the model variables are compared with the deterministic results to comment on the randomness of the cases with random parameters and random initial values. Results for some numerical characteristics of these two cases are also given to investigate the accuracy of the approximations for the expected values.
Anahtar Kelime: SIR Model Random Effect Beta Distribution Moment Random Differential Equation

Klasik Salgın Hastalik Modeli Dinamiklerinin Beta Dağılımına Sahip Rastgele Bileşenlerle İncelenmesi

Öz:
Bu çalışmada Kermack ve McKendrick’in klasik salgın hastalık modeli beta dağılımına sahip rastgele bileşenlerle incelenmektedir. Deterministik model için sistemin parametreleri ve başlangıç koşulları beta dağılımına sahip rastgele değişkenlere dönüştürülerek bir rastgele inceleme yapılmaktadır. Model değişkenlerinin beklenen değerleri için elde edilen yaklaşımlar deterministik sonuçlarla karşılaştırılarak rastgele başlangıç koşulları ve rastgele parametre içeren durumların rastgele yapıları hakkında yorum yapılmaktadır. Beklenen değerlerin yaklaşımlarının doğruluğunun incelenmesi için iki durumun bazı sayısal karakteristiklerinin sonuçları da verilmektedir.
Anahtar Kelime: SIR Modeli Rastgele Etki Beta Dağılımı Moment Rastgele Diferansiyel Denklem

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA KESEMEN T, Merdan M, Bekiryazıcı Z (2020). Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. , 1956 - 1965. 10.21597/jist.658471
Chicago KESEMEN Tülay,Merdan Mehmet,Bekiryazıcı Zafer Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. (2020): 1956 - 1965. 10.21597/jist.658471
MLA KESEMEN Tülay,Merdan Mehmet,Bekiryazıcı Zafer Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. , 2020, ss.1956 - 1965. 10.21597/jist.658471
AMA KESEMEN T,Merdan M,Bekiryazıcı Z Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. . 2020; 1956 - 1965. 10.21597/jist.658471
Vancouver KESEMEN T,Merdan M,Bekiryazıcı Z Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. . 2020; 1956 - 1965. 10.21597/jist.658471
IEEE KESEMEN T,Merdan M,Bekiryazıcı Z "Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components." , ss.1956 - 1965, 2020. 10.21597/jist.658471
ISNAD KESEMEN, Tülay vd. "Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components". (2020), 1956-1965. https://doi.org/10.21597/jist.658471
APA KESEMEN T, Merdan M, Bekiryazıcı Z (2020). Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10(3), 1956 - 1965. 10.21597/jist.658471
Chicago KESEMEN Tülay,Merdan Mehmet,Bekiryazıcı Zafer Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10, no.3 (2020): 1956 - 1965. 10.21597/jist.658471
MLA KESEMEN Tülay,Merdan Mehmet,Bekiryazıcı Zafer Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.10, no.3, 2020, ss.1956 - 1965. 10.21597/jist.658471
AMA KESEMEN T,Merdan M,Bekiryazıcı Z Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 10(3): 1956 - 1965. 10.21597/jist.658471
Vancouver KESEMEN T,Merdan M,Bekiryazıcı Z Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 10(3): 1956 - 1965. 10.21597/jist.658471
IEEE KESEMEN T,Merdan M,Bekiryazıcı Z "Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components." Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10, ss.1956 - 1965, 2020. 10.21597/jist.658471
ISNAD KESEMEN, Tülay vd. "Analysis of The Dynamics of The Classical Epidemic Model with Beta Distributed Random Components". Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 10/3 (2020), 1956-1965. https://doi.org/10.21597/jist.658471