The type-reproduction number T in models for infectious disease control

Early Real-time Estimation of Infectious Disease Reproduction Number

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a reliable estimate for the basic reproduction number, R0, from the limited information available. We present a novel method that enables us to make a reliabl...

Dengue disease, basic reproduction number and control

Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the transmission of Dengue disease is presented. It consists of eight mutually exclusive compartments representing the human and vector dynamics. It also includes a con...

On the Reproduction Number and a Presentation of Results for Infectious Diseases Models

The classical Kermack-McKendrick homogeneous SIR (susceptible, infected and removed) model is well known. Its general solution is a function of the unique parameter (the reproduction number) that is equal to a mean number of secondary cases produced by a typical infected individual in a completely susceptible population. If the reproduction number is more than one (the threshold value) its valu...

Joint estimation of the basic reproduction number and generation time parameters for infectious disease outbreaks.

The basic reproduction number is a key parameter determining whether an infectious disease will persist. Its counterpart over time, the effective reproduction number, is of value in assessing in real time whether interventions have brought an outbreak under control. In this paper, we use theoretical arguments and simulation to understand the relationship between estimation of the reproduction n...

Border Disease Control Checkpoints: Are They Sufficient for Disease Control? The Present Situation in Thailand