Estimating finite-population reproductive numbers in heterogeneous populations

Invasion fitness, inclusive fitness, and reproductive numbers in heterogeneous populations.

How should fitness be measured to determine which phenotype or "strategy" is uninvadable when evolution occurs in a group-structured population subject to local demographic and environmental heterogeneity? Several fitness measures, such as basic reproductive number, lifetime dispersal success of a local lineage, or inclusive fitness have been proposed to address this question, but the relations...

Analytic Calculation of Finite-Population Reproductive Numbers for Direct- and Vector-Transmitted Diseases with Homogeneous Mixing

The basic reproductive number, R0, provides a foundation for evaluating how various factors affect the incidence of infectious diseases. Recently, it has been suggested that, particularly for vector-transmitted diseases, R0 should be modified to account for the effects of finite host population within a single disease transmission generation. Here, we use a transmission factor approach to calcu...

Estimating Realized Random Effects in Mixed Models with Finite Populations

Aggregation in Finite Numbers

Bundling, site licensing and subscription are all marketing mechanisms based on aggregation. But the economic theory of aggregation is not very well developed. The existing literature looks into the problem of either aggregating of 2 consumers, 2 goods or 2 time periods or letting n goes to infinity. This paper aims to study aggregation in finite numbers. We show the necessary and sufficient co...

Estimating the reproductive numbers for the 2008-2009 cholera outbreaks in Zimbabwe.

Cholera remains an important global cause of morbidity and mortality, capable of causing periodic epidemic disease. Beginning in August 2008, a major cholera epidemic occurred in Zimbabwe, with 98,585 reported cases and 4,287 deaths. The dynamics of such outbreaks, particularly in nonestuarine regions, are not well understood. We explored the utility of mathematical models in understanding tran...