Publications related to Modelling human movement in cholera spreading along fluvial systems

The role of aquatic reservoir fluctuations in long-term cholera patterns

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

We propose and analyze an important extension of standard cholera epidemiological models, explicitly accounting for fluctuations of water availability to the human community under study. The seasonality of water input in the reservoir drives the variation ...

2012

On the role of human mobility in the spread of cholera epidemics: towards an epidemiological movement ecology

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

We investigate the role of human mobility as a driver for long-range spreading of cholera infections, which otherwise primarily propagate through hydrologically controlled ecological corridors. We rely on a recent mechanistic, field-data validated, spatial ...

Wiley-Blackwell2012

Hydroclimatology of dual-peak annual cholera incidence: Insights from a spatially explicit model

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

Cholera incidence in some regions of the Indian subcontinent may exhibit two annual peaks although the main environmental drivers that have been linked to the disease (e.g., sea surface temperature, zooplankton abundance, river discharge) peak once per yea ...

2012

Generalized reproduction numbers and the prediction of patterns in waterborne disease

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

Understanding, predicting, and controlling outbreaks of waterborne diseases are crucial goals of public health policies, but pose challenging problems because infection patterns are influenced by spatial structure and temporal asynchrony. Although explicit ...

Natl Acad Sciences2012

Modelling cholera epidemics: the role of waterways, human mobility and sanitation

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Mari, Lorenzo Righetto, Marino Gatto

We investigate the role of human mobility as a driver for long-range spreading of cholera infections, which primarily propagate through hydrologically controlled ecological corridors. Our aim is to build a spatially explicit model of a disease epidemic, wh ...

2012

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Ricardo Esteban Ruiz Baier

An epidemic model is formulated by a reaction–diffusion system where the spatial pattern formation is driven by cross-diffusion. The reaction terms describe the local dynamics of susceptible and infected species, whereas the diffusion terms account for the ...

Elsevier2011

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions

Nicolas Dorsaz, Giuseppe Foffi, Francesco Piazza

In the diffusion model of chemical reactions, the encounter (reaction) rate between reactant particles is governed by the Smoluchowski equation, which is a diffusion equation in a field of forces. We consider crowded environments where the particles diffus ...

2011

On Spatially Explicit Models of Cholera Epidemics

Andrea Rinaldo, Enrico Bertuzzo, Marino Gatto

We generalize a recently proposed model for cholera epidemics that accounts for local communities of susceptibles and infectives in a spatially explicit arrangement of nodes linked by networks having different topologies. The vehicle of infection (Vibrio c ...

2010

Stochastic dynamics of cholera epidemics

Andrea Rinaldo, Enrico Bertuzzo, Amos Maritan

We describe the predictions of an analytically tractable stochastic model for cholera epidemics following a single initial outbreak. The exact model relies on a set of assumptions that may restrict the generality of the approach and yet provides a realm of ...

American Physical Society2010

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Erik Jarl Pickett

Let

F/E

be a finite Galois extension of fields with abelian Galois group

\Gamma

. A self-dual normal basis for

F/E

is a normal basis with the additional property that

Tr_{F/E}(g(x),h(x))=\delta_{g,h}

for

g,h\in\Gamma

. Bayer-Fluckiger and Lenstra h ...

2010

Modelling human movement in cholera spreading along fluvial systems

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The role of aquatic reservoir fluctuations in long-term cholera patterns

On the role of human mobility in the spread of cholera epidemics: towards an epidemiological movement ecology

Hydroclimatology of dual-peak annual cholera incidence: Insights from a spatially explicit model

Generalized reproduction numbers and the prediction of patterns in waterborne disease

Modelling cholera epidemics: the role of waterways, human mobility and sanitation

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions

On Spatially Explicit Models of Cholera Epidemics

Stochastic dynamics of cholera epidemics

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

On Spatially Explicit Models of Cholera Epidemics

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

The role of aquatic reservoir fluctuations in long-term cholera patterns

On the role of human mobility in the spread of cholera epidemics: towards an epidemiological movement ecology

Hydroclimatology of dual-peak annual cholera incidence: Insights from a spatially explicit model

Modelling cholera epidemics: the role of waterways, human mobility and sanitation

Generalized reproduction numbers and the prediction of patterns in waterborne disease

A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

Stochastic dynamics of cholera epidemics

Crowding, Intermolecular Interactions, and Shear Flow Effects in the Diffusion Model of Chemical Reactions