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- N. J. Burroughs, M. Ferreira, B. M. P. M. Oliveira, Alberto A. Pinto
- Mathematical and Computer Modelling
- 2011

- N. J. Burroughs, B. M. P. M. Oliveira, Alberto A. Pinto, M. Ferreira
- Mathematical and Computer Modelling
- 2011

We classify the C 1+ structures on embedded trees. This extends the results of Sullivan 9] on embeddings of the binary tree to trees with arbitrary topology and to embeddings without bounded geometry and with contact points. We use these results in 2] to describe the moduli spaces of smooth conjugacy classes of expanding maps and Markov maps on train… (More)

- A. A. PINTO
- 2007

- José Martins, Alberto Pinto, Nico Stollenwerk
- Journal of biological dynamics
- 2009

For the spatial stochastic epidemic reinfection model SIRI, where susceptibles S can become infected I, then recover and remain only partial immune against reinfection R, we determine the phase transition lines using pair approximation for the moments derived from the master equation. We introduce a scaling argument that allows us to determine analytically… (More)

- A. A. Pinto
- 2007

Sullivan's scaling function provides a complete description of the smooth conjugacy classes of cookie-cutters. However, for smooth conjugacy classes of Markov maps on a train track, such as expanding circle maps and train track mappings induced by pseudo-Anosov systems, the generalisation of the scaling function suuers from a deeciency. It is diicult to… (More)

- Nico Stollenwerk, Sander van Noort, +4 authors Gabriela Gomes
- Journal of biological dynamics
- 2010

Recently, the notion of a reinfection threshold in epidemiological models of only partial immunity has been debated in the literature. We present a rigorous analysis of a model of reinfection which shows a clear threshold behaviour at the parameter point where the reinfection threshold was originally described. Furthermore, we demonstrate that this… (More)

- A A Pinto, D Sullivan
- 2005

In the paper we discuss two questions about smooth expanding dynam-ical systems on the circle. (i) We characterize the sequences of asymptotic length ratios which occur for systems with Hölder continuous derivative. The sequence of asymptotic length ratios are precisely those given by a positive Hölder continuous function s (solenoid function) on the Cantor… (More)

We describe a construction of a moduli space of solenoid functions for the C 1C-conjugacy classes of hyperbolic dynamical systems f on surfaces with hyperbolic basic sets f. We explain that if the holonomies are sufficiently smooth then the diffeomorphism f is rigid in the sense that it is C 1C conjugate to a hyperbolic affine model. We present a moduli… (More)

- N. J. Burroughs, B. M. P. M. Oliveira, Alberto A. Pinto, H. J. T. Sequeira
- Mathematical and Computer Modelling
- 2008

2007/Jul/02 Sensibility of quorum growth thresholds controlling local immune responses – p. 2007/Jul/02 Sensibility of quorum growth thresholds controlling local immune responses – p. 2/36 Motivation 2007/Jul/02 Sensibility of quorum growth thresholds controlling local immune responses – p. 3/36 Immune system Leukocytes (white blood cells) circulate in the… (More)