Epidemic space

Estimation of time-space-varying parameters in dengue epidemic models

There are nowadays a huge load of publications about dengue epidemic models, which mostly employ deterministic differential equations. The analytical properties of deterministic models are always of particular interest by many experts, but their validity – if they can indeed track some empirical data – is an increasing demand by many practitioners. In this view, the data can tell to which figur...

[The AIDS epidemic in Brazil, 1991-2000: space-time description].

The incidence of AIDS was described by an ecological study of Brazilian municipalities, considering cases reported from 1991 to 2000. An increasing incidence was observed in women and among individuals with a low educational level. São Paulo State had different epidemiological profiles when the State Capital was compared to other cities, with an overall 46% of reported cases in the Country; Per...

Epidemic$ and Pandemic$ are profitable?!

Epidemic Percolation Networks, Epidemic Outcomes, and Interventions

Epidemic percolation networks (EPNs) are directed random networks that can be used to analyze stochastic "Susceptible-Infectious-Removed" (SIR) and "Susceptible-Exposed-Infectious-Removed" (SEIR) epidemic models, unifying and generalizing previous uses of networks and branching processes to analyze mass-action and network-based S(E)IR models. This paper explains the fundamental concepts underly...

Qualitative Properties of the Finite Difference Solution of a Space-time Epidemic Propagation Model

The compartmental models of disease propagation give only the number of the infected individuals but do not give any piece of information about the locations of them. One of the remedies can be to transform the system into an integro-differential equation. We give the known basic qualitative properties of this system: monotonicity, nonnegativity preservation and the formulation of epidemic wave...