A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS

AYDOĞMUŞ, ÖZGÜR HAKAN

A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS

ÖZGÜR HAKAN AYDOĞMUŞ (Boş)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2017 Cilt: 66 Sayı: 2 Sayfa Aralığı: 243 - 252 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS

Öz:

In this paper, we aim to study spread of an epidemic in a spatiallystratified population with non-overlapping generations. We consider mean fieldequation of an endemic chain-binomial process and allow individuals to dispersein the spatial habitat. To be able to model the spatial movement, we usedan averaging kernel. The existence of traveling waves for traveling wave speedsgreater than a certain minimum is proved. In addition, an explicit formula forthe critical wave speed is given in terms of the moment generating function ofthe dispersal kernel and the basic reproductive ratio of the infectives.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	AYDOĞMUŞ Ö (2017). A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. , 243 - 252.
Chicago	AYDOĞMUŞ ÖZGÜR HAKAN A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. (2017): 243 - 252.
MLA	AYDOĞMUŞ ÖZGÜR HAKAN A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. , 2017, ss.243 - 252.
AMA	AYDOĞMUŞ Ö A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. . 2017; 243 - 252.
Vancouver	AYDOĞMUŞ Ö A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. . 2017; 243 - 252.
IEEE	AYDOĞMUŞ Ö "A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS." , ss.243 - 252, 2017.
ISNAD	AYDOĞMUŞ, ÖZGÜR HAKAN. "A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS". (2017), 243-252.

APA	AYDOĞMUŞ Ö (2017). A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 66(2), 243 - 252.
Chicago	AYDOĞMUŞ ÖZGÜR HAKAN A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 66, no.2 (2017): 243 - 252.
MLA	AYDOĞMUŞ ÖZGÜR HAKAN A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.66, no.2, 2017, ss.243 - 252.
AMA	AYDOĞMUŞ Ö A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2017; 66(2): 243 - 252.
Vancouver	AYDOĞMUŞ Ö A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2017; 66(2): 243 - 252.
IEEE	AYDOĞMUŞ Ö "A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 66, ss.243 - 252, 2017.
ISNAD	AYDOĞMUŞ, ÖZGÜR HAKAN. "A DISCRETE TIME MODEL FOR EPIDEMIC SPREAD: TRAVELING WAVES AND SPREADING SPEEDS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 66/2 (2017), 243-252.