Zobrazeno 1 - 10
of 129
pro vyhledávání: '"kermack-mckendrick"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 10, Pp 17661-17671 (2023)
The aim of this short note is twofold. First, we formulate the general Kermack-McKendrick epidemic model incorporating static heterogeneity and show how it simplifies to a scalar Renewal Equation (RE) when separable mixing is assumed. A key general f
Externí odkaz:
https://doaj.org/article/aeba933052d8499c97c24607aa575bc9
Autor:
Patrick Cassam-Chenaï
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 4 (2024)
We obtain conditions, which when fulfilled, permit to transform the coordinates of a dynamical system into pairs of canonical ones for some Hamiltonian system. These conditions, restricted to the class of coordinate transformations which act on each
Externí odkaz:
https://doaj.org/article/2809344fa08c46e9a7093847d1a4d39e
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 5, Iss 1 (2024)
In the first part of this paper, we review old and new results about the influence of host population heterogeneity on (various characteristics of) epidemic outbreaks. In the second part we highlight a modelling issue that so far has received little
Externí odkaz:
https://doaj.org/article/194dc14f9ce0430f89134c9ad91711e7
Publikováno v:
Infectious Disease Modelling, Vol 6, Iss , Pp 975-987 (2021)
In this paper, based on the classic Kermack-McKendrick SIR model, we propose an ordinary differential equation model to re-examine the COVID-19 epidemics in Wuhan where this disease initially broke out. The focus is on the impact of all those major n
Externí odkaz:
https://doaj.org/article/41b79ff1c40a4e3ba36526adb7fa1a07
Autor:
Milan Batista
Publikováno v:
Journal of Biological Dynamics, Vol 15, Iss 1, Pp 623-634 (2021)
This note provides an elementary derivation of the basic reproduction number and the effective reproduction number from the discrete Kermack–McKendrick epidemic model. The derived formulae match those derived from the continuous version of the mode
Externí odkaz:
https://doaj.org/article/0cf2fafb5a124d6f96d9b8ac48e85e29
Autor:
Olga Korchazhkina
Publikováno v:
Современные информационные технологии и IT-образование, Vol 16, Iss 3, Pp 610-622 (2020)
The article focuses on a study resulted in a mathematical tool to predict the most unfavorable scenario that describes how destructive processes are being developed under given initial conditions. The investigation has been worked out on the example
Externí odkaz:
https://doaj.org/article/fb5a34d02c76493d92fabeb511f14dcc
Autor:
Ted G. Lewis, Waleed I. Al Mannai
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 6 (2021)
This article explores the ongoing COVID-19 pandemic, asking how long it might last. Focusing on Bahrain, which has a finite population of 1.7M, it aimed to predict the size and duration of the pandemic, which is key information for administering publ
Externí odkaz:
https://doaj.org/article/d1bec8bb927a450098ee6f162290ead5
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Autor:
Johnson, Christine Bowen
Throughout time, throughout the world, epidemic diseases have depleted whole cultures,changed history and been one of the most significant threats to human survival.Medicine and government have worked to limit the spread of and reduce the severity of