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Approximation of epidemic models by diffusion processes and their statistical inference
Approximation epidemic models diffusion processes their statistical inference
2013/6/14
Among various mathematical frameworks, multidimensional continuous-time Markov jump processes $(Z_t)$ on $\N^d$ form a natural set-up for modeling $SIR$-like epidemics. In this study we extend the res...
A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
2011/2/25
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
Bayesian estimation of the basic reproduction number in stochastic epidemic models
Basic reproduction number Bayesian inference Epidemics Linear programming Stochastic epidemic models
2009/9/22
Our main focus is on the basic reproduction number, a quantity
of central importance in mathematical epidemic theory, whose value essentially
dictates whether or not a large epidemic outbreak can oc...
Asymptotic Normality of Estimates for a Class of Stochastic Epidemic Models
Asymptotic Normality Stochastic Epidemic Models
2009/9/17
Asymptotic Normality of Estimates for a Class of Stochastic Epidemic Models。