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- Mariano Torrisi, Rita Tracinà
- Symmetry
- 2015

In this paper, we consider a quite general class of advection reaction diffusion systems. By using an equivalence generator, derived in a previous paper, the authors apply a projection theorem to determine some special forms of the constitutive functions that allow the extension by one of the two-dimensional principal Lie algebra. As an example, a special… (More)

- M. Torrisi
- 2008

The equivalence transformation algebra LE for the class of equations ut − uxx = f(u, ux) is obtained. After getting the differential invariants with respect to LE , some results which allow to linearize a subclass of equations are showed. Equations like the standard deterministic KPZ equation fall in this subclass. PACS: 02.30.Jr; 02.20.Tw

In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are divided into susceptible, infected and recovered, are considered homogeneously distributed in space and with a constant… (More)

- M. Iwasa, Mariano Torrisi
- 2014

This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced systems which describe the longtime behavior of the original dynamical system. Those methods can be used in… (More)

- A. Catania, Mariano Torrisi, Rita Tracinà
- Applied Mathematics and Computation
- 2008

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